Subband Coding

Abstract

Let x(t) be a stable base-band (B) real signal that we seek to analyze in the following sense. For fixed N = 2 _k we wish to obtain for all 1 ≤ i ≤2 _k the signals x _i (t) with Fourier transforms

$${\hat x_i}\left( v \right) = {1_{{B_i}}}\left( v \right)\hat x\left( v \right)$$

, where B _i is the frequency band

$${B_i}\left[ {\frac{{i - 1}} {{{2^k}}}B,\frac{i} {{{2^k}}}B} \right]$$

.