From e47616fda9ac06db606bce59284f226e6a6572e8 Mon Sep 17 00:00:00 2001 From: ElisaPC Date: Wed, 2 Aug 2023 17:45:32 +0200 Subject: [PATCH] tonal_audibility implementation --- .../tonality/tonal_audibility/__init__.py | 0 .../tonality/tonal_audibility/_criteria.py | 182 ++++++++++++++++++ .../tonal_audibility/_critical_band.py | 35 ++++ .../tonality/tonal_audibility/_formula.py | 159 +++++++++++++++ .../tonality/tonal_audibility/_freq_range.py | 42 ++++ .../tonal_audibility/_mean_nblevel_lines.py | 51 +++++ .../tonality/tonal_audibility/_spectra.py | 117 +++++++++++ .../tonality/tonal_audibility/_tones.py | 116 +++++++++++ .../tonality/tonal_audibility/_uncertainty.py | 59 ++++++ .../tonality/tonal_audibility/main.py | 94 +++++++++ .../white_noise_442_1768_Hz_stationary.wav | Bin 0 -> 264644 bytes 11 files changed, 855 insertions(+) create mode 100644 mosqito/sq_metrics/tonality/tonal_audibility/__init__.py create mode 100644 mosqito/sq_metrics/tonality/tonal_audibility/_criteria.py create mode 100644 mosqito/sq_metrics/tonality/tonal_audibility/_critical_band.py create mode 100644 mosqito/sq_metrics/tonality/tonal_audibility/_formula.py create mode 100644 mosqito/sq_metrics/tonality/tonal_audibility/_freq_range.py create mode 100644 mosqito/sq_metrics/tonality/tonal_audibility/_mean_nblevel_lines.py create mode 100644 mosqito/sq_metrics/tonality/tonal_audibility/_spectra.py create mode 100644 mosqito/sq_metrics/tonality/tonal_audibility/_tones.py create mode 100644 mosqito/sq_metrics/tonality/tonal_audibility/_uncertainty.py create mode 100644 mosqito/sq_metrics/tonality/tonal_audibility/main.py create mode 100644 mosqito/sq_metrics/tonality/tonal_audibility/white_noise_442_1768_Hz_stationary.wav diff --git a/mosqito/sq_metrics/tonality/tonal_audibility/__init__.py b/mosqito/sq_metrics/tonality/tonal_audibility/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/mosqito/sq_metrics/tonality/tonal_audibility/_criteria.py b/mosqito/sq_metrics/tonality/tonal_audibility/_criteria.py new file mode 100644 index 00000000..0a510c44 --- /dev/null +++ b/mosqito/sq_metrics/tonality/tonal_audibility/_criteria.py @@ -0,0 +1,182 @@ +from collections import Counter +import _critical_band +import numpy as np +import operator + +#Function that determines if the number of spectral lines over and below ft is at least 5. LS first iteration criteria +#Param +# Inputs: +# listIndex - list of index corresponding to the spectral lines that fulfill the LS_ini+6 criteria +# Li_ft_index - index of ft +# Output: +# OK - boolean that is set to False if the num_lines over or below ft is less than 5, otherwise is set to True +def _iteration_criteria_LS(listIndex, Li_ft_index): + nu=0 #num of lines below ft + no=0 #num of lines over de ft + for q in range(0, len(listIndex)): + if listIndex[q]Li_ft_index: + no=no+1 + if no<5 or nu<5: + print("Less than 5 lines") + OK=False + else : + OK=True + return OK + + +#Function that during the iteration for LS' calculation tests if the new mean value is +#equal within a tolerance of ±0,005 dB to that of the previous iteration step. LS' second iteration criteria +#Param: +# Inputs: list_Ls: list that contains the values of LS in every iteration step +# Output: stop - boolean that is set to True if the iteration must be stopped because the criteria is met +def _iteration_criteria_LS_2(list_LS): + for j in range(1,len(list_LS)): + if abs(list_LS[j]-list_LS[j-1])<0.005: + print("dif < de 0.005") + stop=True + else: + stop=False + return stop + + +#The level frequency lines that can be defined as tones, ft, inside a critical band: a tone may only be present if +#the level of the spectral line considered is at least 6 dB greater than the corresponding mean narrow-band level LS. +#This function tests if the tone satisfies this criteria +# Inputs: LS - calculated mean narrow band level for ft +# Li - ft's tone level +# Output: tone_criteria: boolean set to False if the criteria is not fulfilled +def _tone_criteria(LS, Li): + if Li>LS+6: + tone_criteria=True + else: tone_criteria=False + return tone_criteria + + +#Function that determines if the tone meets the distinctness criteria +#Param: +# Inputs: ft - tone frequency +# Lu - tone level of the frequency of the first spectral line below the tone ft +# Lo - tone level of the frequency of the first spectral line over the tone ft +# fu - tone level of the frequency of the first spectral line below the tone ft +# fo tone level of the frequency of the first spectral line over the tone ft +# LT_max - maximum narrow-band level (Li) of the tone +# Tone_BW - tone bandwidth: sum of the bandwidths of the spectral lines contributing to the tone +# Output: ok - boolean that is set to False when the tone doesn´t meet the distinctness criteria, and to True if it does +def _distinctness_criteria(ft, Lu,Lo,fu,fo, LT_max, Tone_BW): + delta_fR=26*(1+0.001*ft) + delta_Lu=(ft/2)*((LT_max-Lu)/(ft-fu)) + delta_Lo=(ft)*((LT_max-Lo)/(fo-ft)) + #print("delta_Lu and delta_Lo must be higher or equal to 24 dB. They are: (", round(delta_Lu,2),",", round(delta_Lo,2), ")") + #print("The tone bandwidth must be lower than the max: ", round(delta_fR,2)) + if (Tone_BW=24) and (delta_Lo>=24): + ok=True + else: ok=False + return ok + + +#Function that checks the dictionary for the tones that are distinct but not audible, and erase them from it +# Inputs: dict_lines_assigned - This dictionary is used to see what lines are assigned to each tone in Lt, so they are +# not added twice in Ltm. Keys: ft, values: list of Lis assigned to get ft's Lt +# list_ft - list of audible tones +# dict_aud - dictionary keys ft; values delta_L (audibilities) +# list_not_distinct - list of audible tones that do not meet the distinctness conditions +# Output: dict_lines_assigned - updated dictionary of which lines are assigned to each tone in Lt, without the discarded +# tones (keys) that are not distinct if any +# list_ft - updated list of audible tones without the discarded tones that are not distinct if any +# dict_aud -updated dictionary of audibilities, without the discarded tones (keys) that are not distinct if any +def _discard_not_distinct(dict_lines_assigned, list_ft, dict_aud,list_not_distinct): + dict_lines_assigned_aux=dict_lines_assigned.copy() + #Erase tones, that are finally not present, from the dictionary (distinct but not audible/present) + for keys in dict_lines_assigned_aux: + if(keys in list_ft)==False: + del dict_lines_assigned[keys] + + #Erase from the list of audible tones those that are not supposed to be studied even though they are audible + #I.e. those which do not meet distinctness criteria + for z in range(0, len(list_not_distinct)): + f=list_not_distinct[z] + if f in list_ft: + list_ft.remove(f) + if f in dict_aud: + del dict_aud[f] + return dict_lines_assigned, list_ft, dict_aud + + +#"It is possible for the energy of individual spectral lines to be assigned to a number of neighbouring tones +#at the same time. Upon addition of the tone levels of neighbouring tones, the energy of these individual +#spectral lines may not be summed more than once." +#This function ensures that when summing the tone levels of neighbouring tones, the energy of these individual spectral lines +#are not summed more than once. Regarding the calculation of Ltm. +#Param: +# Inputs: dict_lines_assigned - This dictionary is used to see what lines are assigned to each tone in Lt, so they are +# not added twice in Ltm. Keys: ft, values: list of Lis assigned to get ft's Lt +# dict_aud - dictionary keys ft; values delta_L (audibilities) +# list_ft_audib - list of audible tonos in the spectra (yet to be assessed whether they meet all the criteria) +# list_freqs - list of all the frequencies in the spectra, neccesary to get the index of the tones that +# use the same level(s) to obtain Lt +# list_Li - list of all the levels of respective f in the spectra, once obtained the index, the level of the tones +# is determined with this list. If one is to be erased it would be the least pronounced tone +# Output: dict_lines_assigned - updated dictionary, without the deleted tones (keys) if any +# list_ft_audib_aux - updated list of audible tones, without the deleted tones (keys) if any +# dict_aud - updated dictionary of audibilities, without the deleted tones (keys) if any +def _single_addition_lines(dict_lines_assigned, dict_aud, list_ft_audib, list_freqs, list_Li): + list_aux1=[] + list_aux2=[] + list_ft_audib_aux=list_ft_audib.copy() + for m in range(1, len(list_ft_audib)-1): + key1=list_ft_audib[m-1] + key2=list_ft_audib[m] + #Get list of Lis used to get each of the tones Lt + list_aux1=dict_lines_assigned.get(key1) + list_aux2=dict_lines_assigned.get(key2) + index_tone1=list_freqs.index(key1) + index_tone2=list_freqs.index(key2) + Li_tone1=list_Li[index_tone1] + Li_tone2=list_Li[index_tone2] + #Counter is used to Compare if unordered lists have the same elements + if(Counter(list_aux1)==Counter(list_aux2))==True: + #In case they have the same lines, keep only the most pronounced tone + if(Li_tone1>Li_tone2): + list_ft_audib_aux.remove(list_ft_audib[m]) + del dict_lines_assigned[key2] + del dict_aud[key2] + else : + list_ft_audib_aux.remove(list_ft_audib[m-1]) + del dict_lines_assigned[key1] + del dict_aud[key1] + return dict_lines_assigned, list_ft_audib_aux, dict_aud + + +#"If exactly 2 tones with tone frequencies, fT1 and fT2, appear in one critical band, then they are evaluated +#separately if both tone frequencies lie below 1 000 Hz and the frequency difference, fD." +#This function is used to check whether two tones in the same CB should be evaluated separately, according to the standard. +#Param: +# Inputs: list_ft_audib - list of audible tonos in the spectra (after checking all criteria) +# dict_aud - dictionary keys ft; values delta_L (audibilities, after checking all criteria) +# list_freqs - list of all the frequencies in the spectra, necessary to determine the CB, f1 and f2, +# and which tones lie within a CB +# Output: list_ft_audib - updated list of audible tones, if two tones can´t be evaluated separately the lowest of those +# is erased from the list +# dict_aud_aux - updated dictionary of audibilities +def _aud_tones_within_critical_band(list_ft_audib, dict_aud, list_freqs): + dict_aud_aux=dict_aud.copy() + for f in dict_aud: + dict_aud_CB={} + delta_fc,f1,f2=_critical_band._critical_band(f, list_freqs) + #check which of the possible tones to be evaluated are contained in the same critical band + for f_key in dict_aud: + if f_key>f1 and f_key50 and ft<1000: + fd=21*np.power(10,1.2*np.power(abs(np.log10(ft/212)),1.8)) + #to be evaluated separately both tones must be under 1000Hz and fd>(ft-f) + for f_key2 in dict_aud_CB: #check conditions for the tones within ft's CB + if (f_key2<1000) and (ft!=f_key2) and (ft-f_key2=total_list_f[i]: + f1_=total_list_f[i] + + max=len(total_list_f)-1 + if f2>total_list_f[max]: + f2_=total_list_f[max] + else: + for m in range(0, len(total_list_f)): + if f2>=total_list_f[m]: + f2_=total_list_f[m] + return delta_fc,f1_,f2_ + + + + + diff --git a/mosqito/sq_metrics/tonality/tonal_audibility/_formula.py b/mosqito/sq_metrics/tonality/tonal_audibility/_formula.py new file mode 100644 index 00000000..27252f53 --- /dev/null +++ b/mosqito/sq_metrics/tonality/tonal_audibility/_formula.py @@ -0,0 +1,159 @@ +import numpy as np +import math + +#Function to delimit the line spacing. It returns the N (number of points for the fft) neccesary to get that delta_f. +#The value of delta_f will be recalculated again afterwards when the number of points for the fft is rounded +#to a power of 2 +def _delta_f(fs): + #>1.9Hz <4Hz + delta_f=3 #duration(of each clip)=1/delta_f + N=fs/delta_f; + return N,delta_f + + +#Function that returns the smallest power of two that is greater than or equal to the absolute value of N. +#It also recalculates delta_f according to that new N (number of points for the fft) +#Param: N - numbre +def _nextpow2(N,fs): + n=np.log2(N) + if(n%2!=0): + n=math.ceil(n) + else: n=n + print(n) + new_N=np.power(2,n) + #recalculate delta_f + delta_f=fs/new_N + print(delta_f) + return new_N,delta_f + + +#Function that calculates the masking index +#ISO 20065 5.3.6. Masking index (Formula 13) +#Param: +# Inputs: ft - tone frequency: frequency of the spectral line (or mid-band frequency of the narrow-band filter), to the level of +# which the tone contributes most strongly +# Output: av - masking index: audibility threshold for a specific sound in the presence of a masking sound +def _masking_index(ft): + av=-2-np.log10(1+(np.power(ft/502, 2.5))) + return av + + +#Function that calculates the critical band level +#ISO 20065 5.3.5 Critical band level, LG, of the masking noise (Formula 12) +#Param: +# Inputs: LS - mean narrow band level: energy mean value of all narrow-band levels in a critical band that does not exceed +# this mean value by more than 6 dB +# delta_f - line spacing: distance between neighbouring spectral lines +# delta_fc - bandwith of the critical band +# Output: LG - critical band level: level of noise that is assigned to the critical band that describes the masking +# characteristic of the noise for one or more tones of the noise in this critical band +def _critical_band_level(LS, delta_f, delta_fc): + LG=LS+(10*np.log10(delta_fc/delta_f)) + return LG + + +#Function that calculates the audibility +#ISO 20065 5.3.7 Determination of the audibility, ΔL (Formula 14) +#Param: +# Inputs: LT - tone level: energy summation of the narrow-band level with the tone frequency, fT, and the lateral lines +# about fT, assignable to this tone +# LG - critical band level: level of noise that is assigned to the critical band that describes the masking +# av - masking index: audibility threshold for a specific sound in the presence of a masking sound +# Output: delta_L - audibility: difference between the tone level and the masking threshold +def _audibility(LT, LG, av): + delta_L=(LT-LG-av) + return delta_L + + + +#Function that calculates LS +#ISO 20065 5.3.2 Determination of the mean narrow-band level LS of the masking noise (Formula 6) +#Param: +# Inputs: M - number of spectral lines except the one under study: +# listTones_Li - list of the levels Li of the tones within the CB except for ft +# delta_f - line spacing: distance between neighbouring spectral lines +# delta_fe - effective bandwidth: is the effective bandwidth in Hz; if a Hanning window is used then the effective bandwidth, Δfe, +# is 1,5 times the frequency resolution (line spacing), Δf. +# Output: LS - mean narrow band level after the first iteration. Initial LS +def _mean_narrow_band_level(M, listTones_ini, delta_f, delta_fe): + Sum=0 + for i in range(0,len(listTones_ini)): + Sum=Sum+(np.power(10,0.1*listTones_ini[i])) + LS=(10*np.log10((1/M)*Sum))+(10*np.log10(1/delta_fe)) + return LS + + +#Function that calculates the tone level +#ISO 20065 5.3.3 Determination of the tone level LT of a tone in a critical band (Formula 8) +#Param: +# Inputs: listTones - list of the levels Li of the tones within the CB that are under LS+6dB +# delta_f - line spacing: distance between neighbouring spectral lines +# LS - mean narrow band level: energy mean value of all narrow-band levels in a critical band that does not exceed +# this mean value by more than 6 dB +# ft_index - index of the tone under study +# delta_fe - effective bandwidth: is the effective bandwidth in Hz; if a Hanning window is used then the effective bandwidth, Δfe, +# is 1,5 times the frequency resolution (line spacing), Δf. +# Output: LT - tone level: energy summation of the narrow-band level with the tone frequency, fT, and the lateral lines +# about fT, assignable to this tone +# Tone_BW - tone bandwidth: sum of the bandwidths of the spectral lines contributing to the tone +# LT_max - maximum narrow-band level (Li) of the tone +def _tone_level(listTones, delta_f, LS, ft, Li, ft_index, delta_fe, dict_lines_assigned): + list_lines_assigned=[] + list_lines_assigned.append(Li) + Sum=np.power(10,0.1*Li) #Add ft's Li to the summatory + LT_max=Li #for distinctness criteria + Tone_BW=delta_f #Tone bandwith necessasry for distinctness criteria + index_aux=ft_index + #below the tone + for j in range(ft_index-1,0,-1): + if (listTones[j]>Li-10) and (listTones[j]>LS+6): + if (j==index_aux-1): + index_aux=j + Sum=Sum+(np.power(10,0.1*listTones[j])) + list_lines_assigned.append(listTones[j]) + Tone_BW=Tone_BW+delta_f + index_aux=ft_index + #over the tone + for x in range(ft_index+1,len(listTones)): + if (listTones[x]>Li-10) and (listTones[x]>LS+6): + if (x==index_aux+1): + index_aux=x + list_lines_assigned.append(listTones[x]) + Sum=Sum+(np.power(10,0.1*listTones[x])) + Tone_BW=Tone_BW+delta_f + dict_lines_assigned[ft]=list_lines_assigned + if Tone_BW>delta_f: + LT=(10*np.log10(Sum))+(10*np.log10(1/delta_fe)) + else: #if only ft's Li is in the summation + LT=10*np.log10(Sum) + return LT, Tone_BW, LT_max, dict_lines_assigned + + +#Function that adds the tone level (LT) of all the audible tones within ftm's critical band +#ISO 20065 5.3.8. Determination of the decisive audibility, ΔLj, of a narrow-band spectrum -Step 3 (Formula 17) +def _sum_tone_level(list_LT, list_Li): + Sum=0 + for z in range(0,len(list_Li)): + Sum=Sum+(np.power(10,0.1*list_Li[z])) + if len(list_Li)>2*len(list_LT): + LTm=10*np.log10(Sum)-1.76 + else: + LTm=10*np.log10(Sum) + return LTm + + +#Function for the determination of the mean audibility of a number of spectra +#ISO 20065 5.3.9 Determination of the mean audibility ΔL of a number of spectra (Formula 20) +#The decisive audibility ΔLj is calculated for each narrow-band averaged spectrum (run +#index j, J is the number). These J audibilities are averaged in energy terms to yield the mean audibility +#Param: +# Inputs: list_decisve_aud - decisive audibility of each spectrum, to be averaged +# Output: mean_aud - mean audibility +def _mean_aud(list_decisive_aud): + Sum=0 + J=len(list_decisive_aud) + for i in range(0,len(list_decisive_aud)): + Sum=Sum+np.power(10,0.1*list_decisive_aud[i]) + mean_aud=10*np.log10((1/J)*Sum) + return mean_aud + diff --git a/mosqito/sq_metrics/tonality/tonal_audibility/_freq_range.py b/mosqito/sq_metrics/tonality/tonal_audibility/_freq_range.py new file mode 100644 index 00000000..72784f07 --- /dev/null +++ b/mosqito/sq_metrics/tonality/tonal_audibility/_freq_range.py @@ -0,0 +1,42 @@ +import numpy as np +#Function to define the frequency range under study +#Param: +# Inputs: freq_axis - frequency axis of the spectrum +# delta_f - spectral resolution or line spacing +# spectra - dictionary with the audio clips's spectra +# spectra_dBA - dictionary with the audio clips's A weightened spectra +# Output: freq_axis - new frequency axis limited with the range defined +# spectra - dictionary with the audio clips's delimited spectra +# spectra_dBA - dictionary with the audio clips's A weightened delimited spectra +def _freq_range(freq_axis, delta_f,spectra, spectra_dBA): + #Constants to narrow down the study. + max_f=3000 + min_f=50 + for x in range(len(freq_axis)): + if freq_axis[x]<=max_f and freq_axis[x]>=(max_f-delta_f): + upper_range_index=x + for x in range(len(freq_axis)): + if freq_axis[x]>=min_f and freq_axis[x]<=(min_f+delta_f): + lower_range_index=x + + print("Range of frequencies to be studied [Hz]:",round(freq_axis[lower_range_index],2),"-", round(freq_axis[upper_range_index],2)) + + #Delete frequencies above 3kHz and under 50Hz + for z in range(len(freq_axis)-1,upper_range_index,-1): + freq_axis=np.delete(freq_axis, np.s_[z]) + for z1 in range(lower_range_index-1,-1,-1): #?-1 instead of 0 in the middle to earse also f=0. Not erased otherwise + freq_axis=np.delete(freq_axis, np.s_[z1]) + + #Delete Li values respectively (f>3kHz and f<50Hz) + for keys in spectra: + for j in range(len(spectra.get(keys))-1, upper_range_index,-1): + spectra[keys]=np.delete(spectra.get(keys), np.s_[j]) + for j in range(lower_range_index-1,-1,-1): + spectra[keys]=np.delete(spectra.get(keys), np.s_[j]) + + for keys2 in spectra_dBA: + for r in range(len(spectra_dBA.get(keys2))-1, upper_range_index,-1): + spectra_dBA[keys2]=np.delete(spectra_dBA.get(keys2), np.s_[r]) + for r in range(lower_range_index-1,-1,-1): + spectra_dBA[keys2]=np.delete(spectra_dBA.get(keys2), np.s_[r]) + return freq_axis, spectra, spectra_dBA \ No newline at end of file diff --git a/mosqito/sq_metrics/tonality/tonal_audibility/_mean_nblevel_lines.py b/mosqito/sq_metrics/tonality/tonal_audibility/_mean_nblevel_lines.py new file mode 100644 index 00000000..bb07832c --- /dev/null +++ b/mosqito/sq_metrics/tonality/tonal_audibility/_mean_nblevel_lines.py @@ -0,0 +1,51 @@ + +#Function that from the limit frequencies of the CB, f1 and f2, obtains all spectral lines that are part of that BC +#excluding the central one ft. Their levels are stored in a list so that LS can be calculated. +#It also returns the number of lines to be averaged (M = all the lines except ft) +#Param +# Inputs: +# ft - tone frequency +# f1 , f2 - corner frequencys of the critical band +# list_f - complete list of frequencies given in the ISO example spectrum +# list_Li - complete list of tone levels of the frequencies given in the ISO example spectrum +# Outputs: +# list_out_Li - list of the spectral lines' tone levels that are part of ft's critical band +# list_index - list of indexes of list_out_Li values +# n_lines - M: number of lines to be averaged +def _list_levels_ini(ft,f1,f2, list_f, list_Li): + list_index=[] + list_out_Li=[] + n_lines=0 + for i in range(0,len(list_f)): + if list_f[i]>=f1 and list_f[i]<=f2 and list_f[i]!=ft: + list_index.append(i) + n_lines=n_lines+1 + for j in list_index: + list_out_Li.append(list_Li[j]) + return list_out_Li, list_index, n_lines + + + +#From the list of levels obtained for the first LS iteration (all the levels of the CB except the ft level), only those +#that fulfill the LS_ini+6 criteria are taken +#Param +# Inputs: +# listTones - list of the spectral lines' tone levels that are part of ft's critical band +# listIndex - list of indexes of list_out_Li values +# delta_f - line spacing: distance between neighbouring spectral lines +# LS_ini - mean narrow band level after the first iteration. Initial LS +# Outputs: +# list_LS - list of the spectral lines' tone levels that fulfill the LS_ini+6 criteria +# new_list_index - list of indexes of list_LS values +# num_lines - M: NEW number of lines to be averaged +def _list_levels_LS(listTones, listIndex, delta_f, LS): + list_LS=[] + new_list_index=[] + num_lines=0; + for k in range(0,len(listTones)): + if listTones[k]<=LS+6: + num_lines=num_lines+1 + list_LS.append(listTones[k]) + new_list_index.append(listIndex[k]) + return list_LS, new_list_index, num_lines + diff --git a/mosqito/sq_metrics/tonality/tonal_audibility/_spectra.py b/mosqito/sq_metrics/tonality/tonal_audibility/_spectra.py new file mode 100644 index 00000000..dc1f5494 --- /dev/null +++ b/mosqito/sq_metrics/tonality/tonal_audibility/_spectra.py @@ -0,0 +1,117 @@ +import _tones +import _formula +import _criteria +import _critical_band +import numpy as np +import _uncertainty + +#Annex E(informative) - Example for the determination of the tonal audibility +#Consider that these lists are: Frequencies fi and A-weighted narrow-band levels Li in the critical band with the +#centre frequency 137,3 Hz of the first spectrum (not a full spectrum) + +#SPECTRA_freqs=[96.9, 99.6, 102.3, 105.0, 107.7, 110.4, 113.0, 115.7, 118.4, 121.1, +#123.8, 126.5, 129.2, 131.9, 134.6, 137.3, 140.0, 142.7, 145.3, 148.0, 150.7, 153.4, 156.1, 158.8, +#161.5, 164.2, 166.9, 169.6, 172.3, 175.0, 177.6, 180.3, 183.0, 185.7, 188.4, 191.1, 193.8, 196.5] + +#SPECTRA_i_Li=[49.40, 50.68, 50.09, 53.37, 44.47, 50.91, 51.41, 59.40, 64.54, 57.57, +#51.02, 50.76, 59.93, 62.94, 58.49, 65.87, 62.66, 50.25, 51.32, 52.30, 52.58, 53.15, 67.04, 67.27, +#57.40, 57.17, 52.56, 51.39, 52.49, 47.68, 51.26, 49.03, 61.42, 59.52, 48.43, 50.84, 48.20, 55.95] + +def _spectra_i_tonal_audibility(SPECTRA_freqs,SPECTRA_i_Li, delta_f): + delta_fe=1.5 #effective bandwith (Hanning window) + k=1.645 + list_deltaLm=[] #list of final audibilities, the greatest will be the dec. aud. + dict_lines_assigned={} #this dictionary is used to see what lines are assigned to each tone for Lt calculation, + #so they are not added twice in Ltm. keys-ft, values-list of Lis assigned to get ft's Lt + dict_Lt={} #dictionary keys-ft, values-Lt + dict_LS={} #dictionary keys-ft, values-LS + dict_aud={} #dictionary keys-ft, values-delta_L (audibilities) + dict_Li_LS={} #dictionary with the final list of Lis used to determine ft's LS after LS iteration + list_ft=[] #list of audible tones + list_not_distinct=[] #list of audible tones that do not meet the distinctness conditions + dict_U={}# dictionary of uncertainties for the cases where there is only 1 tone in a CB + list_decisive_sigma=[] + + #First we find the index in which there is maxima on the spectrum, i.e. a Li value which is higher that + #the previous and the next one + list_index_max=[] + for i in range(0,len(SPECTRA_i_Li)-1): + if SPECTRA_i_Li[i-1] < SPECTRA_i_Li[i]> SPECTRA_i_Li[i+1]: + list_index_max.append(i) + + #Study of each maximum. Calculation of the parameters for each maximum and study of the + #fulfilment of conditions to consider said maximum as an audible tone. + for j in range(0, len(list_index_max)): + ft=SPECTRA_freqs[list_index_max[j]] + print("\n************************************************************************************************************") + print("ft=",round(ft,2), "Hz") + aud_i, dict_lines_assigned, list_not_distinct, dict_LS, dict_Lt, dict_Li_LS, dict_U=_tones._spectra_i_tones(SPECTRA_i_Li, SPECTRA_freqs,delta_f, delta_fe, ft, list_index_max[j], dict_lines_assigned, list_not_distinct, dict_LS, dict_Lt, dict_Li_LS, dict_U) + if aud_i>0: #tones which audibility is to be studied + dict_aud[ft]=round(aud_i,2) + list_ft.append(ft) + + #check the dictionary for the tones that are distinct but not audible, and erase them from it + #Erase from the list of audible tones those that are not supposed to be studied even though they are audible + #I.e. those which do not meet distinctness criteria + dict_lines_assigned, list_ft, dict_aud=_criteria._discard_not_distinct(dict_lines_assigned, list_ft, dict_aud,list_not_distinct) + + #print("LIST AUDIBLE TONES (and distinct):", list_ft) + print("*********DECISIVE AUDIBILITY**********") + #Now we check that the spectral lines are not used for Ltm more than once, and if so the least pronounced tone is dismissed + dict_lines_assigned, list_ft, dict_aud=_criteria._single_addition_lines(dict_lines_assigned, dict_aud, list_ft, SPECTRA_freqs, SPECTRA_i_Li) + print("AUDIBLE tones after single addition condition", list_ft) + #print("DICT Lineas assigned", dict_lines_assigned) + #If there are more than one tone in a CB, check the ft2-t1>fd criteria to see if the tones must be evaluated separetely + list_ft, dict_aud=_criteria._aud_tones_within_critical_band(list_ft, dict_aud, SPECTRA_freqs) + print("FINAL LIST OF TONES TO BE STUDIED FOR DEC. AUD:", list_ft) + + #Calculate delta_L again for (each) the tone ftm + for n in range(0,len(list_ft)): + list_Li_ft=[] #list used to get the Lis used to obtain Lt in each case, for the uncertainty calculation and Ltm + list_Li=[] #list to concatenate list_Li_ft to get the Lis of each Lt summed for Ltmn (final tone level, tones in a CB) + list_LT=[] #empty this list for each tone + ftm=list_ft[n] + ftm_index=SPECTRA_freqs.index(ftm) + Li_ftm=SPECTRA_i_Li[ftm_index] + LSm=dict_LS.get(ftm) + print("\n-------------------------------------------------------------------------------------------------------------------") + print("Study of the DECISIVE AUD. for tone ", round(ftm,2), "Hz with Li=", round(Li_ftm,2) , "dB and its calculated LS=", round(LSm,2)) + print("LSITA DE NO DISTNIGUIBLES DE ESTE ESPCTRO: ", list_not_distinct) + #critical band + delta_fm,f1,f2=_critical_band._critical_band(ftm, SPECTRA_freqs) + #Obtain the applicable Lts, to calculate Ltm of the tone under study, from the dictionary of Lts + for f in dict_lines_assigned: + if f>=f1 and f<=f2: + Lt=dict_Lt.get(f) + list_LT.append(round(Lt,2)) + list_Li_ft=dict_lines_assigned.get(f) + list_Li=list_Li+list_Li_ft + + LTm=_formula._sum_tone_level(list_LT, list_Li) + LGm=_formula._critical_band_level(LSm,delta_f,delta_fm) + avm=_formula._masking_index(ftm) + delta_Lm=_formula._audibility(LTm, LGm, avm) + list_deltaLm.append(delta_Lm) + #Uncertainty + #print("LIST LT UNC:", list_LT) + if len(list_LT)==1: + U_ftm=dict_U.get(ftm) + list_decisive_sigma.append(U_ftm/k) + else: + U_ftm, sigma=_uncertainty._aud_uncertainty(dict_Li_LS.get(ftm), list_Li, delta_fm, delta_f) + list_decisive_sigma.append(sigma) + print("Tone:", round(ftm,2), "Hz -> For a summation level of", round(LTm,2),"dB, a masking index of av=",round(avm,2), "dB and a critical band level LGm=",round(LGm,2), "dB, the DECISIVE audibility is", round(delta_Lm,2)) + print("Final audibility: ", round(delta_Lm,2), "dB U=", round(U_ftm,2), "dB") + + #Get the decisive audibility of the spectra, which is the highest delta_L obtained for the audible tones + greatest_deltaLm=0 + dec_sigma=0 + for c in range(0,len(list_deltaLm)): + if list_deltaLm[c]>greatest_deltaLm: + greatest_deltaLm=list_deltaLm[c] + tone_decisive_aud=list_ft[c] + dec_sigma=list_decisive_sigma[c] + + print("\nDECISIVE AUDIBILITY OF THE SPECTRA") + print("The greatest decisive audibility is", round(greatest_deltaLm,2), "dB for the tone ftm=", round(tone_decisive_aud,2), "Hz") + return greatest_deltaLm, dec_sigma \ No newline at end of file diff --git a/mosqito/sq_metrics/tonality/tonal_audibility/_tones.py b/mosqito/sq_metrics/tonality/tonal_audibility/_tones.py new file mode 100644 index 00000000..197d4ab1 --- /dev/null +++ b/mosqito/sq_metrics/tonality/tonal_audibility/_tones.py @@ -0,0 +1,116 @@ +#pruebas +import _mean_nblevel_lines +import _formula +import _critical_band +import _criteria +import _uncertainty + +def _spectra_i_tones(SPECTRA_Li, SPECTRA_freqs,delta_f,delta_fe, ft, ft_index, dict_lines_assigned, not_distinct, dict_LS,dict_Lt, dict_Li_LS, dict_U): + Li_ft=SPECTRA_Li[ft_index] + print("Narrow band level, Li=", round(Li_ft,2), "dB") + + #To study the distinctness Lu and Lo are required, as well as their freq fu and fo + fu=SPECTRA_freqs[ft_index-1] #f under ft + fo=SPECTRA_freqs[ft_index+1] #f over ft + Lu=SPECTRA_Li[ft_index-1] + Lo=SPECTRA_Li[ft_index+1] + #print("Under ft. Lu=",Lu," en fu=", fu) + #print("Over ft. Lo=",Lo," en fo=", fo) + #print("\n") + + #Function called to determine the critic band bandwith as well as the corner frequencies + #delta_fc,f1,f2=_critical_band_20065._critical_band_20065(ft) + delta_fc,f1,f2=_critical_band._critical_band(ft, SPECTRA_freqs) + print("Bandwidth of the Critical Band=", round(delta_fc,2), "Hz") + print("f1=",round(f1,2), "Hz") + print("f2=",round(f2,2), "Hz") + + #Function called to get a list of the levels of the spectral lines contained in the critical band, + #as well as their index and the value M, which is the count of the spectral lines on the list except + #for ft's spectral line, i.e. except the line under study + list_Li, list_index, M=_mean_nblevel_lines._list_levels_ini(ft,f1,f2,SPECTRA_freqs,SPECTRA_Li) + #list of spectral lines of a CB without counting ft + #print("List of Li of the spectral lines within the CB of",ft, "=", list_Li) + #print("List of their respective indexes: ", list_index) + #print("number of lines to be averaged(M)=", M) + + #Function called to carry out the first iteration to determine LS + LS=_formula._mean_narrow_band_level(M, list_Li, delta_f, delta_fe) + #print("Mean-Narrow Initial level for the critical band centred on",ft, ", LS=", round(LS,2), "dB") + list_iteration=[round(LS,2)] + list_Li_inicial=list_Li + list_LS_final=[] + criteria=_criteria._iteration_criteria_LS(list_index,ft_index) + criteria2=False #set to false until there are no values to compare + + while criteria==True and criteria2==False: + #while in an iteration step, the new energy mean value isn´t equal within a tolerance of ±0,005 dB to that + #of the previous iteration step and while the number of lines contributing to the mean narrow-band level to + #the right or left of the line under investigation stays over or equal to 5, the iteration continues + list_aux=list_Li + list_Li, list_index, M=_mean_nblevel_lines._list_levels_LS(list_aux, list_index, delta_f, LS) + #print("List of Li of the spectral lines within the CB after it=", list_Li) + #print("List of their respective indexes: ", list_index) + + LS=_formula._mean_narrow_band_level(M, list_Li, delta_f, delta_fe) + list_iteration.append(LS) + #print("List of LS", list_iteration) + #print("\n") + + if len(list_iteration)>2: + criteria2=_criteria._iteration_criteria_LS_2(list_iteration) + criteria=_criteria._iteration_criteria_LS(list_index, ft_index) + if criteria2==True or criteria==False: + list_LS_final=list_aux #lista anterior, al igual que LS anterior + LS=list_iteration[len(list_iteration)-2] + else: + criteria=_criteria._iteration_criteria_LS(list_index,ft_index) + dict_LS[ft]=LS + print("After the iteration, LS=",round(LS,2), "dB") + dict_Li_LS[ft]=list_LS_final + #print(list_LS_final) + + tone_criteria=_criteria._tone_criteria(LS, Li_ft) + if tone_criteria==False: + print("\nAs for ft=",round(ft,2), "Hz Li(ft)0: + not_distinct.append(ft) + U_ft,sigma=_uncertainty._aud_uncertainty(list_LS_final, dict_lines_assigned[ft], delta_fc, delta_f) + dict_U[ft]=U_ft + print("As the distinctness criteria are not met, the audibility of the tone ft=", round(ft,2),"Hz won't be studied.") + print("But it can be considered for tone addition.") + print("Not distinct. ¿Audibility? ", round(delta_L,2),"dB, with LG=", round(LG,2), "dB, av=", round(av,2), "dB and U=", round(U_ft,2)) + return delta_L, dict_lines_assigned, not_distinct, dict_LS, dict_Lt, dict_Li_LS, dict_U + diff --git a/mosqito/sq_metrics/tonality/tonal_audibility/_uncertainty.py b/mosqito/sq_metrics/tonality/tonal_audibility/_uncertainty.py new file mode 100644 index 00000000..35fd7245 --- /dev/null +++ b/mosqito/sq_metrics/tonality/tonal_audibility/_uncertainty.py @@ -0,0 +1,59 @@ +import numpy as np + +#Function to determine the uncertainty of each audible tone and of the decisive tones +#ISO-20065. 6.Calculation of the uncertainty of the audibility ΔL (Formula 27) +#Param: +# Inputs: list_Li_LS - list of Lis to be averaged to determine LS for each tone +# list_Li_Lt - list of Lis to be added to obtain LT for each tone, or list of LT calculated for each tone that are +# to be summed for Ltm +# delta_fc - bandwith of the critical band +# delta_f - line spacing +# Output: Uncertainty with a cover factor k=1.645 for a 90 % coverage probability in a bilateral confidence interval +def _aud_uncertainty(list_Li_LS, list_Li_LT, delta_fc, delta_f): + #list of Li for ft's Lt calculation + #list of Li that are averaged to form ft's LS + #bandwidth of the CB + num_LS=0 + den_LS=0 + num_LT=0 + den_LT=0 + sigma_L=3 + k=1.645 + #print(list_Li_LT) + #print(list_Li_LS) + if list_Li_LS: #not empty + for i in range(0,len(list_Li_LS)): + num_LS=num_LS+(np.power(np.power(10,0.1*list_Li_LS[i]),2)) + den_LS=den_LS+(np.power(10,0.1*list_Li_LS[i])) + den_LS=np.power(den_LS,2) + unc_p1=(num_LS/den_LS) + else: + unc_p1=0 + if list_Li_LT: + for j in range(0,len(list_Li_LT)): + num_LT=num_LT+(np.power(np.power(10,0.1*list_Li_LT[j]),2)) + den_LT=den_LT+(np.power(10,0.1*list_Li_LT[j])) + den_LT=np.power(den_LT,2) + unc_p2=(num_LT/den_LT) + else: + unc_p2=0 + unc_p3=np.power(4.34*(delta_f/delta_fc),2) + sigma=np.sqrt((unc_p1+unc_p2)*np.power(sigma_L,2)+unc_p3) + uncertainty=k*sigma + #print(unc_p1, unc_p2, unc_p3, sigma, uncertainty) + return uncertainty, sigma + + +def _mean_aud_uncertainty(list_aud, list_sigmas): + num=0 + den=0 + k=1.645 + for j in range(0, len(list_aud)): + num=num+np.power((np.power(10,0.1*list_aud[j])*list_sigmas[j]),2) + den=den+np.power(10,0.1*list_aud[j]) + mean_U=k*(np.sqrt(num)/den) + return mean_U + + + + diff --git a/mosqito/sq_metrics/tonality/tonal_audibility/main.py b/mosqito/sq_metrics/tonality/tonal_audibility/main.py new file mode 100644 index 00000000..9a8da006 --- /dev/null +++ b/mosqito/sq_metrics/tonality/tonal_audibility/main.py @@ -0,0 +1,94 @@ +import _spectra +import _formula +import _uncertainty +import _freq_range +import numpy as np +import math +import matplotlib.pyplot as plt +from numpy.fft import fft +from mosqito.utils.load import load +from mosqito.utils import time_segmentation +from mosqito.utils import conversion +from mosqito.sound_level_meter.spectrum import spectrum +import pandas as pd + +archivo='white_noise_442_1768_Hz_stationary.wav' +signal, fs=load(archivo, wav_calib=0.01) #fs=48kHz +print(fs) +t_st=np.linspace(0,(len(signal)-1)/fs,len(signal)) +plt.figure(1) +plt.plot(t_st,signal) +plt.xlabel('Time') +plt.ylabel('Pressure [Pa]') +plt.title('Stationary signal- White noise') +plt.show() + +#Show spectrum of the input signal +signal_spectrum,freqs=spectrum(signal,fs) +plt.figure(2) +plt.plot(freqs, signal_spectrum) +plt.xlabel("Frequency [Hz]") +plt.ylabel("Amplitude [dB re. 2e-5Pa]") +plt.xlim(50,3000) +plt.ylim(-100,50) +plt.title('Sepctrum - Stationary signal- White noise') +plt.show() + +No, delta_f=_formula._delta_f(fs) +N,delta_f=_formula._nextpow2(No,fs) +array1=np.array([]) #signal 2-d segmented signal +array2=np.array([]) #time axis +array1,array2=time_segmentation.time_segmentation(signal, fs,N, 0) + +#number of audio clips is the size of the array1 divided by the number of samples(N) +#Duration of the clips is N divided by fs (array2 shows when each of the clips stop) +#Each of the colums of the array1 is a clip, and each of the lines is the value of a sample for each of the clips +num_blocks=array1.size//N +print("Number of clips:",num_blocks) +clips={} +spectra={} +spectra_dBA={} +#change dims +array1=np.transpose(array1) +print("\nSHAPE OF THE MATRIX (CLIPS)",array1.shape) + +for i in range(num_blocks): + name="clip{0}".format(i+1) + clips[name]=array1[i] + Lp,freq_axis=spectrum(array1[i],fs) + name_sp="spectra{0}".format(i+1) + spectra[name_sp]=np.round(Lp,2) + Lp_dBA=conversion.spectrum2dBA(Lp, fs) + name_sp_dBA="spectra{0}_dBA".format(i+1) + spectra_dBA[name_sp_dBA]=Lp_dBA + +#Narrow down the the frequency range to 50Hz - 3kHz +freq_axis, spectra, spectra_dBA=_freq_range._freq_range(freq_axis, delta_f,spectra, spectra_dBA) + +#EXPORT SPECTRA TO EXCEL FOR VALIDATION +#writer = pd.ExcelWriter('sample_spectrum_dBA.xlsx') +#i=0 +#for k in spectra_dBA: +# data = pd.DataFrame({"f":freq_axis,"Li":spectra_dBA.get(k)}) +# sheet_name="sheet{0}".format(i+1) +# data.to_excel(writer, sheet_name, index=False) +# writer.save() +# i=i+1 +#writer.close() + +dec_auds=[] +list_dec_sigmas=[] +list_f=freq_axis.tolist() + +for key in spectra_dBA: + list_spectra_i=spectra_dBA.get(key).tolist() + print("\n>>>>>>>>>>>>>>>>>>>>>", key) + decisive_aud, dec_sigma=_spectra._spectra_i_tonal_audibility(list_f, list_spectra_i, delta_f) + dec_auds.append(decisive_aud) + list_dec_sigmas.append(dec_sigma) + +print("\nLIST OF DECISIVE AUDS: ", dec_auds) +print("\nLIST of its sigmas", list_dec_sigmas) +mean_audibility=_formula._mean_aud(dec_auds) +mean_unc=_uncertainty._mean_aud_uncertainty(dec_auds, list_dec_sigmas) +print("\nThe MEAN AUDIBILITY of the whole spectrum is:", round(mean_audibility,2), "dB and its uncertainty", round(mean_unc,2), "dB") \ No newline at end of file diff --git a/mosqito/sq_metrics/tonality/tonal_audibility/white_noise_442_1768_Hz_stationary.wav 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