By U. Meyer-Baese

Bargains an outline of FPGA expertise, units, and instruments to layout state-of-the-art DSP structures. The accompanying CD-ROM includes the examples in VHDL and VERILOG code in addition to the most recent Altera Baseline software program. CD-ROM incorporated.

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**Sample text**

However, in order to specify practical properties of discrete-time systems, such as low-pass ﬁltering or high-pass ﬁltering, it is necessary to transform the complex z-plane to the real-frequency, ω, axis. Speciﬁcally, the region of the complex z-plane that is used in this transformation is the unit circle, speciﬁed by the region z = ejω. The resulting transform is the Discrete-Time FourierTransform (DTFT), which will be discussed ﬁrst in this chapter. Due to the need for a more applicable and easily computable transform, the Discrete Fourier Transform (DFT) was introduced, which is very homogeneous in both forward (time to frequency) and inverse (frequency to time) formulations.

A simple model for multipath channel is described by the difference equation: x ( n) = s ( n) − e −8α s ( n − 8) We wish to recover s(n) from x(n) with a linear time-invariant system. Find the causal and stable system function H(z) = Y(z)/X(z) such that its output y(n) = s(n). d. Consider a causal LTI system described by the difference equation: y(n) = p0 x(n) + p1 x(n − 1) − d1 y(n − 1) where x(n) and y(n) denote, respectively, its input and output. Determine the difference equation of its inverse system.

The input signal is stored as a vector x = [x(0), x(1), … x(N – 1)]. Step 3. The frequency interval is: ∆ω = 2π/(Ν ∆t) The MATLAB program for FFT computation is identical to the one given in the previous section, for periodic signals. 2 Problem Solving Exercise 1: Solve the following problems, brieﬂy outlining the important steps. a. 6 Figure for problem (b). We wish to derive new ﬁlters from this prototype by manipulation of the impulse response h(n). i. Plot the frequency response H1 (ejω) for the system whose impulse response is h1(n) = h(2n).