Sinusoids

Adding/subtracting sinusoids

Adding/subtracting sinusoids
  1. How do you combine two sinusoidal functions?
  2. Is the sum of two sinusoids a sinusoid?
  3. What is sum of sinusoids?

How do you combine two sinusoidal functions?

Adding two sinusoids of the same f'requency but ditl'erent amplitudes and phases results in another sinusoid (sin or cos) of same fiequency. The resulting amplitude and phase are different from the amplitude, and phase of the two original sinusoids, as illustrated with the example below.

Is the sum of two sinusoids a sinusoid?

The Sum of Two Real Sinusoidal Functions

As it turns out, as you might expect, the sum of two equal-frequency real sinusoids is itself a single real sinusoid.

What is sum of sinusoids?

The sum of sinusoids with the same frequency is also a sinusoid. Remembering The angle sum rule, we can write any sinusoid as a weighted sum of a sine and a cosine: (2)Asin(ωt+θ)=Asin(ωt)cos(θ)+Acos(ωt)sin(θ)=A′sin(ωt)+A″cos(ωt)

How can I obtain the impulse response using a dual channel FFT?
How do you find the output of an impulse response?How do you calculate impulse response in DSP?What is impulse response of a system in DSP?What is th...
Knowing the power of a portion of a signal's spectrum inside another signal's spectrum
What does a power spectrum tell you about a signal?How do you find the power spectrum of a signal in Matlab?Which of the signal describes the power p...
A vanilla BPSK set up, but constellation disgram is a line
What is a constellation modulation?What does the signal constellation of a pattern represent? What is a constellation modulation?Constellation modul...