Frame bounds estimation of frequency warping operators

In this work we provide an accurate analytical estimation of the frame bounds for frequency warping operators of arbitrary shaped non-smooth warping maps. We deal with both the nonuniform Fourier transform approximation and the aliasing suppressed form of the frequency warping operator. The estimation procedure is obtained by using an analytical model of the aliasing operators which has been previously introduced. The provided estimations can be used as design formulas for the parameters, such as degree of smoothness and redundancy, involved in the definition of the frequency warping operators.