山东大学2011-2012学年2学期数字信号处理（双语）课程试卷(A) 得分港人 6.(15 pts)The system function of a FIR filter is He)=0-X0+6:-0- (a)Determine the difference equation relating input x[n]and output y[n].(5 pts) (b)Draw the signal flow graph of direct form structure of the FIR filter.(5 pts) 签 (c)Draw the signal flow graph of cascade structure of the FIR filter with Ist-order sections.(5 pts) 家 海分圆卷人 8.(10 pts)Draw the flow graph for an 8-point decimation-in-time FFTalgorithm with bit-reversed ordering of the input time sequence x[n] and normal ordering of the output sequence X[k]. 得分圆卷人 7. (10 pts)A discrete-time causal LTI system has the system function 器 1+3红） H(e)= 140.5= Determine expressions for a minimum-phase system (and an all-pass system H()such that H()=H()H(2) 第3项共4页2011-2012 2 数字信号处理（双语） （A） 3 4 6．(15 pts) The system function of a FIR filter is 1 1 1 1 ( ) (1 )(1 6 )(1 ) 2 H z z z z − − − = − + − (a) Determine the difference equation relating input x[n] and output y[n]. （5 pts） (b) Draw the signal flow graph of direct form structure of the FIR filter. （5 pts） (c) Draw the signal flow graph of cascade structure of the FIR filter with 1st-order sections. （5 pts） 7．(10 pts) A discrete-time causal LTI system has the system function ( ) ( ) 1 1 1 3 . 1 0.5 z H z z − − + = + Determine expressions for a minimum-phase system H z min ( ) and an all-pass system ( ) H z ap such that ( ) min ( ) ( ) H z H z H z = ap . 8．(10 pts) Draw the flow graph for an 8-point decimation-in-time FFT algorithm with bit-reversed ordering of the input time sequence x[n] and normal ordering of the output sequence X[k]. 得分 阅卷人 得分 阅卷人 得分 阅卷人