NEW FIRST-ORDER COMPLEX DIGITAL-FILTER SECTIONS AND THEIR APPLICATION FOR THE REALIZATION OF IIR FILTERS

New first-order complex digital-filter sections are realized using the concept of the generalized-immittance converter. These sections are then employed for the realization of infinite impulse response digital filters with real coefficients. The filters obtained with the proposed sections have sensitivity and roundoff noise properties that are comparable to those of other structures of this class reported earlier.

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Design and Applications of Digital Filters

Encyclopedia of Information Science and Technology, Second Edition ◽

10.4018/978-1-60566-026-4.ch162 ◽

2011 ◽

pp. 1016-1023

Author(s):

Gordana Jovanovic Dolecek

Keyword(s):

Impulse Response ◽

Digital Filters ◽

Finite Impulse Response ◽

High Reliability ◽

Rapid Development ◽

Digital Signal ◽

Infinite Impulse Response ◽

Iir Filters ◽

Circuit Fabrication ◽

Analog Systems

Digital signal processing (DSP) is an area of engineering that “has seen explosive growth during the past three decades” (Mitra, 2005). Its rapid development is a result of significant advances in digital computer technology and integrated circuit fabrication (Jovanovic Dolecek, 2002; Smith, 2002). Diniz, da Silva, and Netto (2002) state that “the main advantages of digital systems relative to analog systems are high reliability, suitability for modifying the system’s characteristics, and low cost”. The main DSP operation is digital signal filtering, that is, the change of the characteristics of an input digital signal into an output digital signal with more desirable properties. The systems that perform this task are called digital filters. The applications of digital filters include the removal of the noise or interference, passing of certain frequency components and rejection of others, shaping of the signal spectrum, and so forth (Ifeachor & Jervis, 2001; Lyons, 2004; White, 2000). Digital filters are divided into finite impulse response (FIR) and infinite impulse response (IIR) filters. FIR digital filters are often preferred over IIR filters because of their attractive properties, such as linear phase, stability, and the absence of the limit cycle (Diniz, da Silva & Netto, 2002; Mitra, 2005). The main disadvantage of FIR filters is that they involve a higher degree of computational complexity compared to IIR filters with equivalent magnitude response (Mitra, 2005; Stein, 2000).

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Design Two-Dimensional IIR Filters Based on Clonal Selection Algorithm with Singular Value Decomposition

Research Letters in Signal Processing ◽

10.1155/2007/32081 ◽

2007 ◽

Vol 2007 ◽

pp. 1-5

Author(s):

Te-Jen Su ◽

Tsang-Chi Yang ◽

Wen-Pin Tsai ◽

Jia-Wei Liu

Keyword(s):

Singular Value Decomposition ◽

Digital Filter ◽

Digital Filters ◽

Clonal Selection ◽

Singular Value ◽

Infinite Impulse Response ◽

Clonal Selection Algorithm ◽

Selection Algorithm ◽

Iir Filters ◽

Value Decomposition

In this letter, clonal selection algorithm (CSA) with singular value decomposition (SVD) method is investigated for the realization of two-dimentional (2D) infinite-impulse response (IIR) filters with arbitrary magnitude responses. The CSA is applied to optimize the sampled frequencies of transition band of digital filters, then producing a planar response matrix of a 2D IIR digital filter. By using the SVD, 2D magnitude specifications can be decomposed into a pair of 1D filters, and thus the problem of designing a 2D digital filter can be reduced to the one of designing a pair of 1D digital filters or even only one 1D digital filter. The stimulation results show the proposed method has the better performance of the minimum attenuation between the passband and stopband.

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