plot rectangular pulse and find fourier serries with 1st , 7th, 16th harmonics
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hi .....,
i have the following quiz and i need your help to kindly get me started on resolving it considering my limited usage of Matlab codes
For the signal of example 3.5:
let: T1=1 & T = 4. Please use Matlab for the plots in the following
{ 1, t<T1
x(t) =
{ 0, T1< t < T/2
Please plot x(t).
What is the fundamental frequency ?
Find Fourier series representation of x(t)
How many distinct harmonics exist?
please compute and plot the sum of the first 4 harmonics:
3
∑ak e jkω0t
k=0
please compute and plot the sum of the first 8 harmonics:
7
∑ak e jkω0t
k=0
please compute and plot the sum of the first 16 harmonics:
15
∑ak e jkω0t
k=0
please compute and plot the sum of the first 32 harmonics:
31
∑ak e jkω0t
k=0
What is a reasonable number of harmonics to include for a square wave?
If a clock frequency is T = 1 ns with T1 = 0.25 ns What is the minimum frequency the circuit must be capable of handling to run at this clock.
I X(t)
____ ____ __I__ ____ ____
I I I I I I I I I I
I I I_______I I I________I I I________I I I________I I I
-2T -T -T1 T1 T 2T
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