- #1
dunnoe
- 3
- 0
It is easily derived from trigonometric identities that
cos(2*pi*f1*t)+cos(2*pi*f2*t)=2cos(2*pi*(f2+f1)*t)*cos(2*pi*(abs(f2-f1)*t))
which proves that superposition of two cosine wave will generate a beat frequency, but what about about a universal proof that applies to any kind of periodic waves.
Rather I am more curious about the insight behind why superposition of two frequency will generate a beat frequency.
cos(2*pi*f1*t)+cos(2*pi*f2*t)=2cos(2*pi*(f2+f1)*t)*cos(2*pi*(abs(f2-f1)*t))
which proves that superposition of two cosine wave will generate a beat frequency, but what about about a universal proof that applies to any kind of periodic waves.
Rather I am more curious about the insight behind why superposition of two frequency will generate a beat frequency.