數(shù)字信號處理試題庫(存儲版)
【正文】 FT ,.(1) Calculate the following values of without puting the DFT itself: (a) , (b) , (c) .(2) Sketch the sequence whose 8point DFT is given by . k 163。 Given two sequences: {g[n]}={1 2 3 4}(), {h[n]}={5 0 3 }().(1) Determine the linear convolution of the two sequence *.(2) Determine the circular convolution of the two sequence Nfor N=4 and N=6, While the lengths of sequences less than N, do the zeropadding. (3) From the results of (1) and (2), make the conclusion of how to use circular convolution to help calculating linear convolution.6. (b) 。 Given two sequences: {g[n]}={1 2 3 4}(), {h[n]}={5 0 3 }().(1) Determine the linear convolution of the two sequence *.(2) Determine the circular convolution of the two sequence Nfor N=4 and N=6, While the lengths of sequences less than N, do the zeropadding. (3) From the results of (1) and (2), make the conclusion of how to use circular convolution to help calculating linear convolution.11． 6． k 163。 A sequenceis known as below: , where (1) Sketch the real part of .(2) If A=1, is it periodic? If it is, give its period.7． 2． k 163。 Which type is this linear phase FIR filter? denote the Npoint circular convolution .Determine the values of ,. Explain which value is equal to the value of. Determine the value of .4. Let ={1 2 1 1},and ={1 1 1},. (1) (1)3. A real 8point sequence .Its 8point DFT is X[k].(1) Determine the values of ,.(2) (2)Gain, dB39。[N,Wn] = ellipord(Wp,Ws,Rp,Rs)[b,a] = ellip(N,Wn)。Normalized stopband edge = 39。 3. A sequence has the 128point DFT. Give the expression of . 4. A causal LTI discretetime system has the transfer function .(1)Test Of Digital Signal Processing 1Give the answer of the following problems as possible in English.1. Supposing when and .Please give its ZT , DTFTand Npoint DFT .Explain the relations among these three transforms .（2） N選奇數(shù)好還是選偶數(shù)好？為什么？（3） 若改用生余弦窗設(shè)計(jì)，求的表達(dá)式。并解釋這兩種情況的原因。請畫出8點(diǎn)的按頻率抽取的（DIF）基2 FFT流圖，要求輸入自然數(shù)順序，輸出倒位序，并以此畫出DITIDFT流圖2 設(shè)序列x(n)=R(n) (n) = (30 試作圖表示x(n)，(n) 已知另一序列h(n) =R(n), (1)試求線性卷積 (2)和5點(diǎn)圓周卷積。( )。（ ）1 用頻率抽樣法設(shè)計(jì)FIR數(shù)字濾波器時(shí)，基本思想是對理想數(shù)字濾波器的頻譜作抽樣，以此獲得實(shí)際設(shè)計(jì)出的濾波器頻譜的離散值。（ ?。﹛(n) ,y(n)的線性卷積的長度是x(n) ,y(n)的各自長度之和。三．判斷題（每題2分）在IIR數(shù)字濾波器的設(shè)計(jì)中，用脈沖響應(yīng)不變法設(shè)計(jì)時(shí)，從模擬角頻率向數(shù)字角頻率轉(zhuǎn)換時(shí)，轉(zhuǎn)換關(guān)系是線性的。 (n)=δ(n)時(shí)輸出為y(n)=R3(n)，則當(dāng)輸入為u(n)u(n2)時(shí)輸出為( )。B．當(dāng)n0時(shí)，h(n)≠0C．當(dāng)n0時(shí)，h(n)=0B．時(shí)域離散周期，頻域連續(xù)非周期C．時(shí)域離散非周期，頻域連續(xù)非周期B．無混頻，線性相位C．有混頻，線性相位A. 5, 5 B. 6, 5 C. 6, 6 D. 7, 5無限長單位沖激響應(yīng)（IIR）濾波器的結(jié)構(gòu)是______型的 A. 非遞歸 B. 反饋 C. 遞歸 D. 不確定若數(shù)字濾波器的單位脈沖響應(yīng)h（n）是對稱的，長度為N，則它的對稱中心是 。(n)的Z變換為______，其收斂域?yàn)開_____。用窗函數(shù)法設(shè)計(jì)FIR數(shù)字濾波器時(shí)，加矩形窗比加三角窗時(shí)，所設(shè)計(jì)出的濾波器的過渡帶比較 ，阻帶衰減比較
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