Wavelets are functions generated by translating and dilating a function or a finite number of functions. In this paper, we consider that the orthonormal basis (ψm,n )m,n∈Z for L2(R) is replaced by the nonharmonic wavelet basis ψm,λm=2-m/2 ψ(2-m x-λn), m,n∈Z, (|λn-n|≤1 such that f∈L2(R) has nonharmonic wavelet expression f(x)=∑m,n cm,nψm,λm·(ψm,n )m,n∈Z is used to approximate function f which is "essentially localized" in time-frequency. The result in Dauberchies is developed.