A new realization method for multidimensional GIC digital filters
Citations
2 citations
Cites background or methods from "A new realization method for multid..."
...The 2D pseudorotated first-order transfer function of equation (3) can be realized by any one of the four types of GIC filter structures ‘CGIC-PA, CGIC-SA, VGIC-PA, and VGIC-SA’ by using the realization procedure reported in [ 7 ], [10]....
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...Each GIC module is associated with a term called the digital conversion function (DCF), denoted as h .I nthe realization reported in [ 7 ], h assumes a value of either zi or z −1 i (i = 1, 2) .A CGIC module with h = zi or z...
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...The 2D transfer function of equation (5) can be realized by a filter structure that makes use of GIC and adaptor modules as building blocks [ 7 ], [10]....
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...One possible set of hν values obtained for the GIC filter structures by using the procedure of [ 7 ], [10] is given below....
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...making use of the procedure reported in [ 7 ], [10], and they are shown in Tables 1 and 2. The constants ai and bi in Tables 1 and 2 represent the inverse bilinear transform (IBT) coefficients of αi and βi , and their values for a 2D pseudorotated first order case are shown in Table 3....
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1 citations
Cites background from "A new realization method for multid..."
...In addition, the GIC structure possesses many attractive features such as low noise, low sensitivity, stability, modularity, and capability of realizing multiple transfer function [8]....
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1 citations
Cites background or methods from "A new realization method for multid..."
...The coefficients of obtained by using (8) will be referred to as the inverse bilinear transform (IBT) coefficients of and of (7), [17], [21]....
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...Determine the values of the multipliers and [17], [21]....
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...Since the DCF values of the GIC modules depend only on the terms present in and do not depend on the coefficient values, one can obtain the DCF values, , from by using the steps described in [17]....
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...A realization procedure for obtaining the complex GIC filter structures directly from a specified discrete transfer function is presented in this section [17]....
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...1) Obtain the -values of the successive GIC modules by using the procedure described in [17] assuming a general polynomial for ....
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Cites methods from "A new realization method for multid..."
...The filter structures proposed in this paper are based on analog configurations which are different from those used for deriving structures reported in [ 5 ] and [6]....
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...This paper also presents a unified approach using the procedure reported recently [ 5 ] to obtain four types of GIC digital filter structures directly from a given discrete transfer function H(z1, z2 ,..., z M). The proposed new filters constitute a useful addition to the family of already-known GIC digital filters....
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Cites background from "A new realization method for multid..."
...…r2 r1 r0 r3 r4 r5 r8 r9 r10 r5 r4 r3 r0 r1 r2 r5 r6 r7 r6 r5 r4 r1 r0 r1 r4 r5 r6 r7 r6 r5 r2 r1 r0 r3 r4 r5 r10 r9 r8 r5 r4 r3 r0 r1 r2 r11 r10 r9 r6 r5 r4 r1 r0 r1 r12 r11 r10 r7 r6 r5 r2 r1 r0 ⎤ ⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎦ ⎡ ⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎣ β′00 β′01 β′02 β′10 β′11 β′12 β′20 β′21 β′22 ⎤ ⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎦ =…...
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...Consider a stable 1D analog filter transfer function of the form H(s) = A0 ∏ H1(s) ∏ H2(s) = A0 [ m∏ j=1 s + aj s + bj ][ n∏ j=1 s2 + djs + f j s2 + gjs + ej ] , (1) where aj , bj , dj , f j , gj , and ej are real constants....
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References
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35 citations
"A new realization method for multid..." refers background or methods in this paper
...It is known [ 1 ]‐[5], [10], that the GIC digital filters possess many attractive features such as low noise, low sensitivity, stability, modularity, and capability of realizing multiple transfer functions....
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...The known design procedures for GIC filters [ 1 ]‐[5], [10], assume an M-D analog transfer function as the basis and the digital filter is then derived from the reference analog configuration by using the wave characterization [6]....
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...The GIC and PA blocks in Fig. 1 represent the digital realizations of a 2-port current—conversion GIC and a 3-port parallel interconnection respectively [ 1 ], [10]....
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...A procedure for realizing a second-order GIC digital filter was first proposed by Antoniou et al. [ 1 ], [10]....
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18 citations
15 citations
"A new realization method for multid..." refers background or methods in this paper
...The multiplier values can be determined by using the following [ 5 ]...
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...It may be noted that the procedure given in [ 5 ] for determining the arrangement of GIC modules requires the realization of the corresponding analog transfer function and plotting of a polynomial map....
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...(1b) is shown in Fig. 1 [ 5 ]. In (1), represents the dimension and ( ) represent the order of the transfer function....
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...It can be shown that the M-D discrete transfer function realized by the GIC filter structure of Fig. 1 is of the form [ 5 ]...
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...Subsequently, it was shown that the GIC concept can be extended to the design of 1-D higher order filters [7] and also to M-D digital filters [ 5 ]....
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8 citations