This paper proposes an oversampled filter bank, which gives the resultant near perfect reconstruction of input image. An oversampled filter bank structure that can be implemented using popular and efficient fast filter banks to allow subband processing of an input signal with substantially reduced aliasing between subbands. For filters design direct form-II structure FIR filters are used and tr...

Sampling rate conversion in multirate filter banks leads to time-varying phenomena, which differ between deterministic and stationary random signals. More specifically, downsampling causes deterministic signals to become periodically shift variant, while upsampling turns stationary random signals into cyclostationary signals. We provide criteria for the quantification of these effects, and comp...

The ability to support multiple channels of different communication standards, in the available bandwidth, is of importance in modern software defined radio (SDR) receivers. An SDR receiver typically employs a channelizer to extract multiple narrowband channels from the received wideband signal using digital filter banks. Since the filter bank channelizer is placed immediately after the analog-...

In this paper, we extend structures and factorizations for paraunitary filter banks yielding linear phase filters [1] to the oversampled case. We derive minimal factorizations for a subset of these banks, and propose some design examples.

An analytical derivation of quantization error in filter banks using additive and signal dependent noise models is presented. The coding gain over PCM is derived for both noise models. Interesting properties of coding gain in optimized filter banks with an AR(1) input signal model, asymptotic performance of multirate systems, and the analytical constraints required to achieve such performance a...

The problem of the design of multi-dimensional filter banks with prescribed properties is considered. The most important requirements are perfect reconstruction property, linear phase property, optimization for a given class of signals, maximum number of vanishing moments and others. A survey of different approaches to the problem of filter banks’ design is presented. The most promising ones ar...

In this paper we propose an alternative technique to the implementation of Discrete Wavelet MultiTone systems based on fractional-delay filter banks. The technique yields orthogonal subband signals which allows independent equalization for each subband at the receiver end. When compared to systems employing cosine-modulated filter banks, our technique shows better performance in terms of bit-er...

It has recently been claimed that a class of filter banks called the principal component filter banks (PCFB) is optimal for digital communication using discrete multitone modulation. In this paper we revisit this result and examine the origin of this optimality. We provide illustrative examples comparing the PCFB with traditional filters. We also provide a rigorous proof of the claim that the b...

This paper evaluates the performance of various biorthogonal filters using adaptive synthesis filter banks for image compression. The adaptive synthesis filter banks are used to exploit the phase diversity of synthesis filters in subband coding system. Odd length biorthogonal filters are used because even length filters exhibit fractional delay in compression. It is shown that adaptive synthesi...

The energy compaction performance of two-channel paraunitary finite impulse response (FIR) filter banks for finitelength signals is investigated. A detailed non-iterative design procedure for boundary filters which are optimal in a weighted mean square error (MSE) sense in the Fourier domain is presented. Simulation results are given for twochannel paraunitary FIR filter banks based on minimump...