The polyphase framework is a well-established tool in discrete-time signal processing. It can be used to simplify considerably the description of periodically time varying systems. From network theory it is known that there are structurally and functionally related networks to a given network that can be obtained e.g. by transposition or by taking the adjoint. In terms of functionality the tran...

In a recent paper, Kalman [3] derives many interesting properties of generalized Fibonacci numbers. In this paper, we take a different approach and derive some other interesting properties of matrices of generalized Fibonacci numbers. As an application of such properties, we construct an efficient algorithm for computing matrices of generalized Fibonacci numbers. The topic of generalized Fibona...

This work introduces a method for constructing polyphase alternating codes in which the length of a code transmission cycle can be p or p − 1, where p is a prime number and m is a positive integer. The relevant properties leading to the construction alternating codes and the algorithm for generating alternating codes is described. Examples of all practical and some not that practical polyphase ...

In radar and communication applications not only low time sidelobes but also uniform sidelobes are important. Polyphase codes have low sidelobes and are more Doppler tolerant, but correlated sidelobes are not uniform. New filters are modeled in this paper for polyphase codes to reduce the sidelobes and also to generate uniform sidelobes. Uniform sidelobe pattern is useful for detection of weak ...

Polyphase filters are becoming a very important component in the design of various filter structures due to the fact that it reduces the cost and complexity of the filter by doing the process of decimation prior to filtering which reduces the multiplications per input sample. In this paper, a review of the basic polyphase filter and its applications has been reviewed. KeywordsAFE, APPF, CMOS, D...

This paper addresses a polyphase structure of spectral graph wavelets and filter banks. We consider two-channel critically sampled graph filter banks. In classical signal processing, polyphase structure of filter banks is very useful since downsampler (upsampler) can be placed before analysis filtering (after synthesis filtering). We theoretically derive that a similar structure is also possibl...

BARKER, R.H.: ‘Group synchronizing of binary digital systems’ in JACKSON, w. (Ed.): ‘Communication theory’ (Butterworths, London, 1953), pp.273-287 GOLOMB, s.w., and SCHOLTZ, R.A.: ‘Generalized Barker sequences’, ZEEE Trans. In$ Theory, 1965, IT-11, (4), pp. 533-537 ZHANG, N., and GOLOMB, s.w.: ‘Sixty-phase generalized Barker sequences’, ZEEE Trans. ZnJ: Theory, 1989, IT-35, (4), pp. 91 1-912 B...

In this paper, we consider the problem of linear equalization of polyphase channels and its blind implementation. These channels may result from oversampling the single output of a transmission channel or/and by receiving multiple outputs of an antenna array. A number of recent contributions in the field of blind channel identification have shown that polyphase channels can be blindly identifie...

We present the design of a wideband digital modem based on non-maximally decimated filter bank (NMDFB) with perfect reconstruction (PR) property. The PR-NMDFB contains an analysis filter bank (AFB) and a synthesis filter bank (SFB) whose efficient polyphase forms are named as polyphase analysis channelizer (PAC) and polyphase synthesis channelizer (PSC). The waveform being processed is the lega...

We present the characterization and design of multidimensional oversampled FIR filter banks. In the polyphase domain, the perfect reconstruction condition for an oversampled filter bank amounts to the invertibility of the analysis polyphase matrix, which is a rectangular FIR matrix. For a nonsubsampled FIR filter bank, its analysis polyphase matrix is the FIR vector of analysis filters. A major...