On the frequency response of M-channel mixed analog and digital maximally decimated filter banks

Mixed analog/digital maximally decimated filter banks find applications in high-speed analog-to-digital con-version. Such filter banks use an analog analysis filter bank and a digital synthesis filter bank. In the design of the filter banks, a distortion (transfer) function and a number of aliasing components must be handled. This paper derives expressions for the frequency response of these components. It also gives the corresponding for-mulas for the case where a discrete-time analysis filter bank is used. The differences and similarities between the analog and discrete-time cases are pointed out