Recent content by etf

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    Analogue telecommunications modulations - example

    Hello. I didn't make any progress in solving this problem.
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    Opamp oscillator with amplitude stabilization

    It is known R4=R5=1.2k. My task is to calculate amplitude of oscillations at v0: Opamps and diodes are ideal. I did analysis of circuit without amplitude stabilization and I got oscillation frequency, but I can't figure out how diodes stabilize amplitude in this circuit. Any sugestion...
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    Analogue telecommunications modulations - example

    Here is my task (Basics of analogue telecommunications): Block diagram of device for simultaneous transfer of two telegraphic signals u1(t) and u2(t) is shown on image 1. Both signals have waveform as periodioc signal um(t) on image 2. Frequencies f1 and f2 of carriers $$u_{01}(t)=U_0...
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    Inverse Fourier transform of ## \frac{1}{a+jw} ##

    I'm just trying to practice... I know it's omega, just didn't write it :) I'm not familiar with contour integration yet, but I would like to see solution...
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    Inverse Fourier transform of ## \frac{1}{a+jw} ##

    Fourier transform is defined as $$F(jw)=\int_{-\infty}^{\infty}f(t)e^{-jwt}dt.$$ Inverse Fourier transform is defined as $$f(t)=\frac{1}{2\pi}\int_{-\infty}^{\infty}F(jw)e^{jwt}dw.$$ Let ##f(t)=e^{-at}h(t),a>0##, where ##h(t)## is heaviside function and ##a## is real constant. Fourier...
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    Calculating Frequency and Voltage in Opamp Oscillator

    Hello. Here is my task: In oscillator circuit ideal opamps are used, it is known R=10K, C=10nF. a) Calculate frequency of oscillations, b) If Vcc=Vee=15V, calculate amplitude of voltages in points A, B and C. a) Here is my solution. I cut output loop, applied test generator and found loop gain...
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    Power of first three harmonics of periodic signal

    [SIZE=14px][FONT=Verdana]We know that periodic function can be written in terms of complex Fourier coefficients: $$f(t)=Fn0+\sum_{n=-\infty,n\neq 0}^{n=\infty}F_ne^{jnw_0t}$$, where $$Fn=\frac{1}{T}\int_{\tau}^{\tau+T}f(t)e^{-jnw_0t}dt$$ and $$Fn0$$ is DC component. Power spectrum of signal is...
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    Calculate LC Lowpass Filter Output Signal

    But it isn't about which "type" of Fourier series I use (complex like in my first post or noncomplex like in post #5). Whatever type I use, I will get response of circuit in steady state, which actually never appears in my case (ideal LC circuit), right?
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    Calculate LC Lowpass Filter Output Signal

    Input signal is periodic...
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    Calculate LC Lowpass Filter Output Signal

    Hi, thanks for reply. Task is to calculate cutoff frequency, equivalent resistance and output signal. I used formula fc=1/(pi*sqrt(L*C)) to calculate cutoff freq., R=sqrt(L/C) to calculate equivalent resistance. But I'm not sure about output signal. My calculations are related to steady state...
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    Calculate LC Lowpass Filter Output Signal

    Hi! Here is my task: Lowpass filter circuit is given: Input signal to this circuit is: L=36.4mH, C=85.4nF. Calculate and draw output signal. My idea is to: 1) Represent input signal in term of Fourier series (complex form), 2) Calculate transfer function for given circuit (for n-th...
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    Construct Opamp circuit for given inputs and output

    If we solve equation R1[Ohm]*C2[Farad]=10*10^{}(-3)[seconds] for R1, we get: R1 = \frac{10*10^{}(-3)[seconds]}{470*10^{}(-6)[F]} = 21.2766 [\frac{seconds}{Farads}] ?
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    Construct Opamp circuit for given inputs and output

    I don't think they made mistake in original formulation... I solved it using single opamp. Here is schematic: Here is relation for V1 (Viz in original formulation): We can choose now C1 and C2 so C1 / C2 = 2 (for example C1= 2*470uF, C2=470uF), but I'm confused about second term, more...
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