An LMI approach to the design of 2D FIR multirate filter banks

نویسندگان

  • Ran Yang
  • Cishen Zhang
  • Lihua Xie
چکیده

In this paper, we consider the design of 2D (two-dimensional) H R (finite impulse response) multirate filter banks. For a given 2D FIR analysis filter bank, we design a 2D FIR synthesis filter bank to minimize the reconstruction error of the filter banks such that the worst case energy gain between the input and the reconstruction error is below a prescribed bound. Our solution is formulated in terms of a set of linear matrix inequalities (LMIs) which can be directly computed by Matlab.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Algorithms for Optimal Multirate Filter Bank Design

This paper is concerned with the problem of designing optimal multirate lter banks. Three design criteria are considered for linear phase FIR lter banks: H 2 measure, H 1 and the mixture of them. A closed-form solution is presented for optimal H 2 lter bank design. For optimal H 1 lter bank design, two algorithms are given which involve solving the design problem using positive semi-deenite pro...

متن کامل

Mixed H2/H∞ filtering design in multirate transmultiplexer systems: LMI approach

In this study, a mixed 2 filter design is proposed for multirate transmultiplexer systems with dispersive channel and additive noise. First, a multirate state-space representation is introduced for the transmultiplexer with the consideration of channel dispersion. Then, the problem of signal reconstruction can be regarded as a state estimation problem. In order to design an efficient separating...

متن کامل

A Novel Multirate Weighted Fir Filter Design Using Vlsi

A new class of FIR filtering algorithms and VLSI architectures based on the multirate approach were recently proposed. They reduce the computational complexity in FIR filtering, and also retain attractive implementation related properties such as regularity and multiply-and-accumulate (MAC) structure. In addition, the multirate feature can be applied to low-power/high-speed VLSI implementation....

متن کامل

New classes of frequency-response masking FIR filters

This paper introduces new classes of frequency-response masking (FRM) FIR filters. In the FRM approach, the overall filter makes use of periodic model filters and nonperiodic masking filters which makes it possible to obtain FIR filters requiring few arithmetic operations even when the transition band is narrow. A reason for considering the new classes of FRM filters in this paper is that they ...

متن کامل

Optimization Algorithms for Realizable Signal - Adapted Filter Banks

Multirate filter banks are fundamental systems commonly used in digital signal processing (DSP). Typically, they are used to decompose a discrete-time signal into a set of frequency selective components called subband signals. Filter banks have been found to be useful for lossy data compression schemes such as MP3 and JPEG 2000, denoising, and signal estimation. In the last decade, transmultipl...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2003