By Jacob Benesty, Yiteng Huang
By adaptive sign processing, we suggest, ordinarily, adaptive ?ltering.In- recognized environments the place we have to version, establish, or tune time-varying channels, adaptive ?ltering has been confirmed to be an e?ective and robust instrument. accordingly, this instrument is now in use in lots of di?erent ?elds. because the invention, via Widrow and Ho? in 1959, of 1 of the ?rst advert- tive ?lters, the so-called least-mean-square, many functions seemed to have the aptitude to take advantage of this basic thought. whereas the variety of - plications (using adaptive algorithms) has been (and retains) ?ourishing with time, due to a number of successes, the necessity for extra refined adaptive algorithms grew to become noticeable as real-world difficulties are extra advanced and extra hard. even supposing the speculation of adaptive ?ltering is already a well-established subject in sign processing, new and superior options are chanced on each year through researchers. a few of these fresh techniques are mentioned during this booklet. The target of this publication is to supply, for the ?rst time, a connection with the most well liked real-world functions the place adaptive ?ltering options play a big function. to take action, we invited best researchers in di?erent ?elds to c- tribute chapters addressing their speci?c subject of research. millions of pages wouldprobablynotbe enoughto describeallthe practicalapplicationsutil- ing adaptive algorithms. accordingly, we constrained the themes to a few vital functions in acoustics, speech, instant, and networking, the place learn continues to be very lively and open.
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Extra info for Adaptive Signal Processing: Applications to Real-World Problems
The acoustic feedback path includes the eﬀects of the hearing-aid ampliﬁer, receiver, and microphone as well as the acoustics of the vent or leak. System instability caused by feedback is sometimes audible as a continuous high-frequency tone or whistle emanating from the hearing aid. In most instruments, venting the earmold used with a behindthe-ear (BTE) hearing aid or venting the shell of an in-the-ear (ITE) hearing J. Benesty et al. ), Adaptive Signal Processing © Springer-Verlag Berlin Heidelberg 2003 24 J.
1 − B · C) − H[M · A · R · B − W (1 − B · C)] Again making the assumption that |B · C| X · M + Q(M · A · R · B − W ) . 7) Exact feedback cancellation occurs when W = (M · A · R · B)/(1 − B · C), or approximately for W ∼ = M · A · R · B. System stability requires a very close match between the feedback path and the cancellation ﬁlter when the hearing-aid processing gain is high, and can tolerate poorer matches for low processing gains. 7) indicates how the system conﬁguration will aﬀect the convergence of the adaptive ﬁlter.
The greater the number of coeﬃcients in the adaptive FIR ﬁlter, the greater the number of sinusoidal components that can be cancelled. 3 The Feedback Path The characteristics of the acoustic feedback path were measured for a ReSound BTE hearing aid attached to an AudioLogic Audallion processing unit containing a Motorola 56009 DSP with 12-bit A/D and 16-bit D/A converters. A white noise sequence was used to excite the receiver, and the response at the microphone was recorded. 625 kHz was used. The feedback system impulse response was computed by cross-correlating the probe sequence with the microphone output.