| Line 6: | Line 6: | ||
<math>x_(f) \,\!= \frac{1}{2}( \delta (f - \frac{1}{4}) + \delta (f + \frac{1}{4}))sinc(t/2)</math> | <math>x_(f) \,\!= \frac{1}{2}( \delta (f - \frac{1}{4}) + \delta (f + \frac{1}{4}))sinc(t/2)</math> | ||
| − | + | *Hum.... I don't think this is what the question was asking: you should figure out a way to compute it using the CTFT properties and also the rep and comb operations. --[[User:Mboutin|Mboutin]] 10:45, 9 February 2009 (UTC) | |
b) | b) | ||
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<math>x_(f) \,\!= \frac{1}{T}\sum_{k} ( \delta (f - \frac{1}{4}) + \delta (f + \frac{1}{4}))( \delta (f - \frac{k}{4}))</math> | <math>x_(f) \,\!= \frac{1}{T}\sum_{k} ( \delta (f - \frac{1}{4}) + \delta (f + \frac{1}{4}))( \delta (f - \frac{k}{4}))</math> | ||
| + | * Same comment as for a). --[[User:Mboutin|Mboutin]] 10:45, 9 February 2009 (UTC) | ||
Revision as of 06:45, 9 February 2009
1 a)
$ x_(t) \,\!= \cos(\frac{\pi}{2})rect(\frac{t}{2}) $
Based on the Prof Alen's note page 179
$ x_(f) \,\!= \frac{1}{2}( \delta (f - \frac{1}{4}) + \delta (f + \frac{1}{4}))sinc(t/2) $
- Hum.... I don't think this is what the question was asking: you should figure out a way to compute it using the CTFT properties and also the rep and comb operations. --Mboutin 10:45, 9 February 2009 (UTC)
b)
$ x_(t) \,\!= repT[x0_(t)] = \frac {1}{T} \sum_{k} cos(\frac{\pi}{2})rect(\frac{t}{4}) $
Based on the Prof Alen's note page 184
$ x_(f) \,\!= \frac{1}{T}\sum_{k} ( \delta (f - \frac{1}{4}) + \delta (f + \frac{1}{4}))( \delta (f - \frac{k}{4})) $
- Same comment as for a). --Mboutin 10:45, 9 February 2009 (UTC)
