| S. Weiss, A. Stenger, R. W. Stewart, and R. Rabenstein. Steady-State Performance Limitations of Subband Adaptive Filters. IEEE Transactions on Signal Processing, 49(9):1982. |
....and (6) be satisfied. For example, we may choose the synthesis prototype to be the paraconjugate of the analysis filter prototype Hp(z) This allows an analysis of the filterbank as an implementation of a tight frame expansion, which is desirable for the error analysis of subband adaptive filters [7]. With reference to Figure 2, the design procedure for the prototype filter Hp(z) is 1. Minimize the stopband energy in the frequency regions [ ffl; and [ ffl; Gamma] 2. Design Hp(z) such that Hp(z) Hp(z) is a Nyquist 2M filter Hp(z) is the paraconjugate of Hp(z) 4. ....
S. Weiss, A. Stenger, R. Rabenstein and R. W. Stewart, "Steady state performance limitations of subband adaptive filters", to appear in IEEE Trans. Sig. Proc. one real multiply plus one real add.
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S. Weiss, A. Stenger, R. W. Stewart, and R. Rabenstein. Steady-State Performance Limitations of Subband Adaptive Filters. IEEE Transactions on Signal Processing, 49(9):1982.
....on various frequency bands, the sensor signals of the array are passed through lter banks. The frequency bands produced by a lter bank can be decimated due to their band limited spectra. However, aliasing in these so called subbands limits the performance of any subsequent adaptive processing [13], and various solutions exist to mitigate the problem. In general, additional adaptive beamforming operations have to be introduced at least between adjacent subband processors which increases the computational complexity [2] The solution preferred here are oversampled subbands, whereby the ....
....0.6 0.8 1 1.2 1.4 1.6 1.8 2 80 60 40 20 0 normalized frequency W p jW #1 #2 #3 #4 #5 #6 #7 #0 octaves Fig. 3. Magnitude response of lter bank, only showing half the bands covering the spectrum [0; the octave grouping is indicated. the stopband attenuation of the lter banks [13]. Both perfect reconstrution and aliasing can be controlled by the lter bank design [3] Hence implicit limitations in the subband structure can be kept below any speci cations imposed by an application. 3. PROPOSED BEAMFORMING STRUCTURE Consider the lter bank characteristic in Fig. 3 with K ....
S. Weiss, A. Stenger, R. W. Stewart, and R. Rabenstein. Steady-State Performance Limitations of Subband Adaptive Filters. IEEE Transactions on Signal Processing, 49(9):1982-1991, September 2001.
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