2004
DOI: 10.1007/978-3-662-06728-4
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Digital Signal Processing with Field Programmable Gate Arrays

Abstract: Page 123 Table 2.11, m=1: Replace "YK=K1 (X0 cos(Z0)+Y0sin(Z0))" with "YK=K1 (Y0 cos(Z0)+X0sin(Z0))" Page 123 Table 2.11, m=-1: Replace "XK=K-1√X0 2 + Y0 2 " with "XK=K-1√X0 2-Y0 2 " Replace "YK=K-1 (X0 cosh(Z0)+Y0sinh(Z0))" with "YK=K-1 (Y0 cosh(Z0)+X0sinh(Z0)

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Cited by 89 publications
(54 citation statements)
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“…On the other hand, higher precision requires more operations and memories. It is true for other approaches such as Chebyshev approximation and CORDIC [10].…”
Section: Introductionmentioning
confidence: 83%
“…On the other hand, higher precision requires more operations and memories. It is true for other approaches such as Chebyshev approximation and CORDIC [10].…”
Section: Introductionmentioning
confidence: 83%
“…Complex-valued addition is realized by a set of two real additions; complex-valued multiplication is realized by the conventional method, which requires four real multiplications and two real additions. Alternatively, an efficient complex-valued multiplication method can be applied, where the inherent dependencies of the partial products and sums are utilized to reduce the number of real multiplication operations; however, this method increases the number of real additions [12,13]. This fast complex-valued multiplication method may be described by the following equations [12]:…”
Section: Efficient Complex Multiplicationmentioning
confidence: 99%
“…However, this form suffers from significant fan-in to apply simultaneously the input data signal to all taps of the filter [1]. Figure 4 presents the canonical realizations of a four-tap adaptive FIR filter based on the LMS algorithm to adjust its coefficients [13]. The direct form of the LMS adaptive FIR filter (DF-LMS) can be described by the following equations:…”
Section: Parallel Fir Filtersmentioning
confidence: 99%
“…Both RAMs are configured in read after write. For a given data address i, the filter coefficient w i,k is updated using the LMS algorithm (see (13)) before multiplying it by the corresponding delayed data sample x k−i and accumulating the result (see (2)). …”
Section: Sequential Lms-based Adaptive Fir Filtermentioning
confidence: 99%