Title : 
Discrete-time models:Bilinear transform and ramp approximation equivalence
         
        
            Author : 
Haberland, Bernhard L. ; Rao, S.S.
         
        
            Author_Institution : 
Villanova University, Villanova, PA, USA
         
        
        
        
        
            fDate : 
8/1/1973 12:00:00 AM
         
        
        
        
            Abstract : 
The problem of developing discrete-time models for continuous systems from integral approximations is considered. In particular, the model obtained by approximating the input by a piecewise linear function is developed. By an appropriate approximation of this model, an equivalence between it and the bilinear transform model is established.
         
        
            Keywords : 
Circuit theory; Continuous time systems; Convolution; Discrete transforms; Equations; Filters; Piecewise linear approximation; Piecewise linear techniques; Stability; Testing;
         
        
        
            Journal_Title : 
Audio and Electroacoustics, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TAU.1973.1162499