======================================================================= E01-1 (DT-FT of Aperiodic Signals) [13-04-01] ----------------------------------------------------------------------- SS5-5: N, w_0, 2 pi N 趨近於 無限大, w_0 趨近無限小, 則 N * w_0pi 趨近 2 pi? Yes or No? ======================================================================= E01-2 (Periodicity of DT-FT High-Low-Freq Ex 5.1-5.2) [13-04-01] ----------------------------------------------------------------------- SS5-6: Periodicity DT-FT 之後的函數, 一定是週期性的嗎? 為什麼? 週期是多少? ----------------------------------------------------------------------- SS5-7-8: 低頻-高頻 DT-FT 之後的函數, 低頻:w = ? 為什麼? 高頻:w = ? 為什麼? ----------------------------------------------------------------------- SS5-9: Bounded Signals In Ex 5.1 |a| > 1, 有沒有 DT-FT? 為什麼? 0 < a < 1, w = 0, |X(.)| = ? w = pi, |X(.)| = ? 1/(1-a) 與 1/(1+a) 哪一個比較大? 低頻成分多,還是高頻成分多 為什麼? -1 < a < 0, w = 0, |X(.)| = ? w = pi, |X(.)| = ? 1/(1-a) 與 1/(1+a) 哪一個比較大? 低頻成分多,還是高頻成分多 為什麼? 跟 Ex 4.1 比較,差別是什麼? (SS4-14) ----------------------------------------------------------------------- SS5-10: Bounded Signals In Ex 5.2 |a| > 1, 有沒有 DT-FT? 為什麼? 0 < a < 1, w = 0, |X(.)| = ? w = pi, |X(.)| = ? (1+a)/(1-a) 與 (1-a)/(1+a) 哪一個比較大? 低頻成分多,還是高頻成分多 為什麼? -1 < a < 0, w = 0, |X(.)| = ? w = pi, |X(.)| = ? (1+a)/(1-a) 與 (1-a)/(1+a) 哪一個比較大? 低頻成分多,還是高頻成分多 為什麼? 跟 Ex 4.2 比較,差別是什麼? (SS4-16) X(.) 有沒有 Phase ======================================================================= E01-3 (Ex 5.3 Convergence Ex 5.4) [13-04-01] ----------------------------------------------------------------------- SS5-11: Sqare Wave - Sinc In Ex 5.3 X(.) 有沒有 Phase X(.) 是週期性的嗎? 為什麼? DT sinc 是什麼樣子? 跟 Ex 4.4 比較,差別是什麼? (SS4-18) 跟 Ex 3.12 比較,差別是什麼? (SS3-67) ----------------------------------------------------------------------- SS5-15: CT-DT-Delta Function In Ex 5.4 跟 Ex 4.3 比較,差別是什麼? (SS4-17) ======================================================================= E02-1 (DT-FT of Periodic Signals) [13-04-08] ======================================================================= E02-2 (Ex 5.5-5.6) [13-04-08] ----------------------------------------------------------------------- SS5-21: Ex 5.5 vs Ex 4.7 Ex 5.5 vs Ex 4.7 (SS4-24) DT 與 CT 的差別? 為什麼? ----------------------------------------------------------------------- SS5-22: Ex 5.6 vs Ex 4.8 Ex 5.6 vs Ex 4.8 (SS4-25) DT 與 CT 的差別? 為什麼? ======================================================================= E03-1 (Property = Periodicity Linearity Shifting Ex 5.7) [13-04-08] ----------------------------------------------------------------------- SS5-26: time domain 與 frequency domain 的差別 DT vs CT (SS4-29) time domain 與 frequency domain 的差別? 為什麼? ----------------------------------------------------------------------- SS5-28: 低頻變高頻,高頻變低頻 In Ex 5.7 為什麼 w - pi 低頻變高頻,高頻變低頻, from time domian from frequency domain ======================================================================= E03-2 (Property = Conjugation Differencing Accumulation Differentiation Reversal) [13-04-08] ----------------------------------------------------------------------- SS5-29-30-31: Conjugation Conjugation, DT vs CT, 有沒有不一樣? 為什麼? (SS4-34-37) ======================================================================= E03-3 (Property = Time Expansion) [13-04-08] ----------------------------------------------------------------------- SS5-33-37: Time Expansion Time Expansion DT vs CT, 有沒有不一樣? (SS4-45) ----------------------------------------------------------------------- SS5-35: Correct Time Expansion 哪一個是 time expansion? 第二個是什麼? (SS3-71) ======================================================================= E03-4 (Property = Ex 5.9 Parseval Ex 5.10) [13-04-08] ======================================================================= E04-1 (Convolution Ex 5.11 5.13 ) [13-04-11] ----------------------------------------------------------------------- SS5-42: Convolution and Multiplication convolution and multiplication DT vs CT 不同之處? (SS4-52) ----------------------------------------------------------------------- SS5-44: DT-CT Sqare Wave Ex 5.12 vs Ex 4.20 (SS4-65) ----------------------------------------------------------------------- SS5-45: 分式多項式 Ex 5.13 vs Ex 4.19 分式多項式的差別 (SS4-63) ======================================================================= E04-2 (Ex 5.14) [13-04-11] ----------------------------------------------------------------------- SS5-47-28: Lowpass, Highpass, Bandpass, Bandstop Ex 5.14 vs Ex 5.7 vs Prob 4.46 (SS4-74) ======================================================================= E05-1 (Multiplication Periodic Convolution Ex 5.15 Tab 5.1 5.2) [13-04-11] ----------------------------------------------------------------------- SS5-52: Multiplication Ex 5.15 vs Ex 4.23 (SS4-71) ======================================================================= E07-1 (Duality Tab 5.3) [13-04-11] ----------------------------------------------------------------------- SS5-58: Time or Frequency Function f() vs g() 誰是 time function,誰是 frequency function ======================================================================= E08-1 (Systems Characterization Ex 5.18-5.20) [13-04-11] ----------------------------------------------------------------------- SS5-65-66: Diff Eqns in CT-DT DT vs CT ex 5.18, 5.19 vs ex 4.24, 4.25 (SS4-81) ex 5.20 vs ex 4.26 (SS4-82) ----------------------------------------------------------------------- SS5-DTFT- ======================================================================= C09-1 (Filtering Frequency Shaping-Selective) [13-04-11] ======================================================================= C10-1 (CT Filters by DE) [13-04-11] ======================================================================= C11-1 (DT Filters by DE) [13-04-11]