Consider a discrete group G and a bounded self-adjoint convolution operator T on l2 (G); let σ (T) be the spectrum of T. The spectral theorem gives a unitary isomorphism U between l2 (G) and a direct ...
In the following animation, we see this four-step process to aid us in interpreting the resonance response of a single-DOF oscillator to harmonic excitation. From this, we see that the response ...
This article presents two important DSP techniques, the overlap-add method, and FFT convolution. The overlap-add method is used to break long signals into smaller segments for easier processing. FFT ...