数字信号处理双语复习提示

● Consider an one dimension signal x (n )，determine and draw the signal flow graph for the N=4

point, radix-2 decimation-in-frequency FFT algorithm of this sequence.

● Consider a discrete-time sequenc,is it periodic? If it is, find its fundamental period.

● Consider the following discrete systems:

（a ） Determine analytically whether these systems are linear.

（b ）Determine analytically whether these systems are time-invariant.

● For the linear and time-invariant system described by the following system function,

determine

（a ） The difference equation representation.

（b ） The region of convergence and its impulse response sequence h(n) if the given

system is a causal system.

（c ） The region of convergence and its impulse response sequence h(n) if the given

system is a stable system.

（d ） The frequency response function

)(ωj e H if the given system is a stable system. ● Given the following sequences:

（a ） Determine the 4-point circular convolution ()n x n y 1)(=④()n x 2.

（b ） Determine the linear convolution ()()n x n x n y 21*)(=.

（c ） Determine the minimum N when circular convolution equal to linear convolution.

● Design a lowpassIIR/ FIRfilter

The specifications are given as follows:

Give the main design steps

● Given a system described by the following difference equation:

Determine:

(a). The system function )(z H .

(b). The region of convergence and its impulse response sequence h (n ) if the given

system is a causal system.

(c). The region of convergence and its impulse response sequence h (n ) if the given

system is a stable system.

(d). The frequency response function )(ωj e H if the given system is a stable

system.

● Given the first five values of the 8-point DFT of a real-valued sequence x(n): (a). Determine the 8-point DFT by X(k) using the properties of DFT.

(b). Determine the DFT of the sequence ()()()10212n x n x -=

●Determine analytically the DTFT of each of the following sequence ●Let x(n)= ，. Determine the odd part and the even part of x(n).