kocosinus
kocosinus is a mathematical function that generalizes the standard cosine function by incorporating a scaling parameter k into its argument. Defined as kocosinus(k, x)=cos(kx), it allows the adjustment of the frequency of oscillation while preserving the amplitude and symmetry properties of the cosine waveform. The notation is often encountered in the analysis of periodic phenomena where a variable frequency component is required, such as in Fourier series representations of signals with modulated bandwidth. The function retains many classical identities of the cosine, including even symmetry, periodicity with period 2π/k, and the relation cos(kx)=Re(e^{ikx}).
In signal processing, the kocosinus function is used to construct band-limited waveforms that can be smoothly
The term "kocosinus" first appeared in the early 1970s in the context of non-homogeneous wave equations. Its