8-BAND HETEROGENEOUS BANK OF FIR FILTERS WITH HIGH COMPUTATIONAL EFFICIENCY FOR HEARING AIDS

  • D.А. Guzhva Southern Federal University
  • К. О. Sever Southern Federal University
  • I.I. Turulin Southern Federal University
Keywords: Recursive FIR filter, rercursive, FIR, filter, filter bank

Abstract

This article discusses recursive filters with finite impulse response and filter banks. The filter
bank is an array of bandpass filters. The analysis filter block divides the input signal into several
components, with each of the sub-filters carrying one frequency sub-band of the original signal.
On the contrary, the synthesis filter block combines the output data of the sub-bands to restore
the original input signal. In most applications, certain frequencies are more important than others.
Filter blocks can isolate various frequency components in the signal. This way we can put more
effort into processing more important components and less effort into processing less important
components. Subband filters can be combined with step-down or step-up sampling to form a bank
of multi-speed filters. Filter banks are widely used for speech recognition and speech quality improvement.
Currently, filter banks have expanded their application to video and image processing.
In addition, filter blocks are very useful in communication systems, including digital receivers and
transmitters, pre-coding of filter blocks for channel alignment, discrete multi-tone modulation and
blind channel alignment. The use of these filters for hearing aids is considered. An 8-band heterogeneous
bank of recursive filters with finite impulse response (FIR) with high computational efficiency
for hearing aids has been developed. The computational complexity (BC) of a recursive
filter with a finite impulse response (RCIHF) is also compared with the computational complexity
of non-recursive filters with a finite impulse response (NCIHF).

References

1. Rabiner R., Gould B. Teoriya i primenenie tsifrovoy obrabotki signalov [Theory and application
of digital signal processing]. Moscow: Mir, 1978.
2. Turulin I.I. Metod proektirovaniya tsifrovykh rekursivnykh fil'trov s konechnoy impul'snoy
kharakteristikoy s zadannymi ogibayushchey i zapolneniem [Method for designing digital recursive
filters with a finite impulse response with a given envelope and filling], Izvestiya
vuzov. Elektronika [Izvestiya vuzov. Electronics], 1999, No. 1–2.
3. Turulin I.I. Raschet i primenenie bystrodeystvuyushchikh tsifrovykh rekursivnykh fil'trov s
konechnoy impul'snoy kharakteristikoy: monografiya [Calculation and application of highspeed
digital recursive filters with finite impulse response: monograph], ed. by
L.K. Samoylova. Taganrog: Izd-vo TRTU, 1999.
4. Tsifrovye fil'try v radiosvyazi i radiotekhnike [Digital filters in radio communications and
radio engineering], ed. by L.M. Gol'denberga. Moscow: Radio i svyaz', 1982.
5. Oppengeym A.V., Shafer R.V. Tsifrovaya obrabotka signalov [Digital signal processing]. Moscow:
Svyaz', 1978.
6. Turulin I.I. Osnovy teorii rekursivnykh KIKh-fil'trov [Fundamentals of the theory of recursive
FIR filters]. Taganrog: Izd-vo YuFU, 2016.
7. Gol'denberg L.M., Matyushkin B.D., Polyak M.N. Tsifrovaya obrabotka signalov [Digital signal
processing]. Moscow: Radio i svyaz', 1990.
8. Gustafsson O., Johansson H., and Wanhammar L. Narrow-band and wideband single filter
frequency masking FIR filters, Proc. of IEEE Int. Symp. Circuits Syst., 2001.
9. Vityazev V.V. Tsifrovaya chastotnaya selektsiya signalov [Digital frequency selection of signals].
Moscow: Radio i svyaz'. 1993.
10. Rudakov P.I., Safonov V.I. Obrabotka signalov i izobrazheniy. MATLAB 5.x [Signal and image
processing. MATLAB 5.x]. Moscow: DIALOG-MIFI, 2000.
11. Urovni slyshimosti [Hearing levels]. Available at: https://digitalmusicacademy.ru/lessonhearing-
curve.
12. Verich Yu.B. Metodika sinteza uzkopolosnykh KIKh-fil'rov v sisteme [Method for synthesizing
narrow-band FIR filters in the system]. RAS, 2001, No. 155.
13. Vityazev V.V. Vityazev S.V. Metody sinteza uzkopolosnogo adaptivnogo KIKh-fil'tra na osnove
mnogoskorostnoy obrabotki [Methods for the synthesis of a narrow-band adaptive FIR filter
based on multi-rate processing], Tsifrovaya obrabotka signalov [Digital signal processing],
2007, No. 4, pp. 15-20.
14. Bell A.E. and Carletta J.E. Multiplierless filter Bank design: structures that improve both
hardware and image compression performance, IEEE Transactions on Circuits and Systems
for Video Technology, June 2006, Vol. 16, Issue 6.
15. Adaptivnye fil'try [Adaptive filters], ed. by K.F.N. Kouena i P.M. Granta. Moscow: Mir, 1988.
16. Vityazev V.V. Tsifrovaya chastotnaya selektsiya signalov [Digital frequency selection of signals].
Moscow: Radio i svyaz', 1993.
17. Vaidyanathan P.P. Multirate Systems and Filter Banks Prentice Hall. Englewood Cliffs NJ
1993.
18. Zaytsev A.A. Metody postroeniya bankov tsifrovykh fil'trov: tematicheskiy obzor [Methods for
constructing digital filter banks: a thematic review], Tsifrovaya obrabotka signalov [Digital
signal processing], 2003, No. 1.
19. Vityazev V.V. Zaytsev A.A. Osnovy mnogoskorostnoy obrabotki signalov: ucheb. posobie [Fundamentals
of multi-rate signal processing: tutorial]. Part 1 and Part 2. Ryazan': RGRTU, 2005.
20. Linovich A.Yu., Vityazev V.V. Subpolosnaya adaptivnaya fil'tratsiya v zadachakh obratnogo
modelirovaniya [Subband adaptive filtering in inverse modeling problems], Tsifrovaya
obrabotka signalov [Digital signal processing], 2004, No. 4, pp. 41-48.
21. Linovich A.Yu. Primenenie metodov chastotno vremennoy dekompozitsii pri reshenii zadach
obratnogo modelirovaniya [Application of time-frequency decomposition methods in solving
inverse modeling problems], Tsifrovaya obrabotka signalov [Digital signal processing], 2005,
No. 3.
22. Vityazev V.V., Kolod'ko G.N., Vityazev S.V. Sposoby i algoritmy formirovaniya
radiolokatsionnogo izobrazheniya v rezhime doplerovskogo obuzheniya lucha [Methods and
algorithms for forming a radar image in the Doppler beam narrowing mode], Tsifrovaya
obrabotka signalov [Digital signal processing], 2006, No. 3.
23. Kuznetsov E.P. Metody i algoritmy adaptivnoy ekho-kompensatsii: sravnitel'nyy analiz
effektivnosti primeneniya [Methods and algorithms for adaptive echo compensation: comparative
analysis of application effectiveness], Tsifrovaya obrabotka signalov [Digital signal processing],
2007.
24. Uidrou B., Stirnz S. Adaptivnaya obrabotka signalov [Adaptive signal processing]. Moscow:
Radio i svyaz', 1989.
Published
2024-01-05
Section
SECTION I. INFORMATION PROCESSING ALGORITHMS