Digital Signal Processing Solutions to Final 2014 Edited by Yang-Ting Justing Chou Confirmed by Prof. Jar-Ferr Kevin Yang LAB: R, TEL: ext Page of MediaCore:

MediaCore Lab, National Cheng Kung University, Tainan, Taiwan Announcement 2015/12/202 AVG: STDEV: MAX:175 Total: 185

MediaCore Lab, National Cheng Kung University, Tainan, Taiwan 2015/12/ ( a ) Explanation

MediaCore Lab, National Cheng Kung University, Tainan, Taiwan 2015/12/ ( b ) Explanation

MediaCore Lab, National Cheng Kung University, Tainan, Taiwan 1.1 ( c ) Explanation 2015/12/205

MediaCore Lab, National Cheng Kung University, Tainan, Taiwan 1.1 ( d ) Explanation 2015/12/206

MediaCore Lab, National Cheng Kung University, Tainan, Taiwan 1.2 (a) Explanation 2015/12/207

MediaCore Lab, National Cheng Kung University, Tainan, Taiwan 1.2 (b) Explanation 2015/12/208

MediaCore Lab, National Cheng Kung University, Tainan, Taiwan 1.3 Bilinear Transform 2015/12/209

MediaCore Lab, National Cheng Kung University, Tainan, Taiwan 2015/12/ Transfer Functions H 1 ( z ):HP H 2 ( z ):HP H 3 ( z ):BP H 4 ( z ):BP HPF BPF LPF BR HPF H 5 ( z ):HP H 6 ( z ):BP H 7 ( z ):BR H 8 ( z ):BP

MediaCore Lab, National Cheng Kung University, Tainan, Taiwan 2015/12/ FFT Decimation In Time (DIT) (a) (b)

MediaCore Lab, National Cheng Kung University, Tainan, Taiwan 2015/12/ Filter Design (b) Frequency transformation: Filters of T 1 is LPF to HPF Simplest transformation: (a) Filters of T 1 is LPF to LPF

MediaCore Lab, National Cheng Kung University, Tainan, Taiwan 2.1 (c) Filter Design 2015/12/2013 T2:T2: T1:T1:

MediaCore Lab, National Cheng Kung University, Tainan, Taiwan 2.2 Linear Phase Filter 2015/12/2014 H FIR (z) = (1+b 0 z -1 ) (1+b 2 z -1 +2z -2 ) (2+b 1 z -1 +3z -2 ) = (1+b 0 z -1 )(2+(b 1 +2b 2 ) z -1 +(b 1 b 2 +7)z -2 +(2b 1 +3b 2 )z -3 +6z -4 ) = 2+ (2b 0 + b 1 +2b 2 )z -1 +(b 0 b 1 +2b 0 b 2 +b 1 b 2 +7) z -2 +(b 0 b 1 b 2 +7b 0 +2b 1 +3b 2 ) z -3 +(2b 0 b 1 +3b 0 b 2 +6) z -4 +(6b 0 )z -5

MediaCore Lab, National Cheng Kung University, Tainan, Taiwan 2015/12/ All-pass Filter 無解 !!!

MediaCore Lab, National Cheng Kung University, Tainan, Taiwan (a) (b) DFT 8 (DFT 8 (x 8 [n]))=DFT 8 (X[k])=8x[((-n)) 8 ] =[ ] (c) (d) 2015/12/ DFT (e)

MediaCore Lab, National Cheng Kung University, Tainan, Taiwan (a) (b) (c) 2015/12/ IDFT (d)

MediaCore Lab, National Cheng Kung University, Tainan, Taiwan 2015/12/2018 (a) 3.3 N -Point DFT

MediaCore Lab, National Cheng Kung University, Tainan, Taiwan 2015/12/2019 (b) (c) 3.3 N -Point DFT

MediaCore Lab, National Cheng Kung University, Tainan, Taiwan row column 2015/12/ D DFT (0,0)

MediaCore Lab, National Cheng Kung University, Tainan, Taiwan Thanks for Your Attention! 2015/12/2021