Abstract
In this paper we consider certain subclasses of analytic univalent functions and plot a frequency response of appropriate circuit for both amplitude and phase with changing source frequency.
Highlights
Let A be the class of functions f(z) of the form f(z) z a nzn n 2 (1.1)which are analytic in the open unit disk = {z C: |z|
A function f A is said to be starlike with respect to the origin if it maps onto a Starlike domain with respect to the origin
For and a function given by (1.1) is said to be in the clas conditions are satisfied the analytic characterization ifthefollowing. These kind of classes were studied by Srutha keerthi and et al[6]
Summary
For the above transfer function RLC values are R=1;L=1;C=1; Matlab code R=1; L=1; C=1; f=0:0.01:10; w=2*pi*f; subplot (2,1,1) h=abs(((j*w)*R/L)./((j*w).^2 +(j*w)*R/L+1/L*C)); semilogx(w,h) grid on title('|H(j\omega)|') xlabel ('\omega') ylabel ('|H(j\omega)|') theta=angle(((j*w)*R/L)./((j*w).^2 +(j*w)*R/L+1/L*C)); subplot (2,1,2) degree=theta*180/pi; semilogx(w,degree) grid on title('\theta(j\omega)') xlabel('\omega') ylabel('\theta(j\omega)') The transfer function from input to output voltage is: To build a bandpass filter tuned to the frequency 1 rad/s, set L=C=1 and use R to tune the filter band.To get a narrower passing band, try decreasing values of R as follows
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