Prelab Preparation: Study how the differential equation of a first order low pass filter can be...
MUST BE IN MATLAB Design a low pass filter for this signal. Set the pass band frequency to 4.9 GHz and the stop band frequency to 5.6 GHz. Allow for 1 dB of attenuation in the pass band and require at least 20 dB of attenuation in the stop band. a. First design a Butterworth filter. Use the command buttord() to determine the order and the normalizing frequency for the filter. Use [Num,Den]=butter() to determine the numerator and denominator coefficients...
Problem 3) (15 points) An RC filter is designed with a cutoff frequency of 100 Hz. If a low-pass first order filter is used, determine the attenuation (Attenuation %, and Attenuation(dB)) of the filtered analog signal at 50, 75 and 200 Hz. (use k -1) o Determine the order of the filter if magnitude ratio of <0.01 is needed at 200 Hz. Problem 3) (15 points) An RC filter is designed with a cutoff frequency of 100 Hz. If a...
Problem 4: Design a first-order, strictly causal, low-pass DT filter to recover a low frequency sensor signal, corrupted by high frequency noise. The signal can contain frequencies up to 10HZ and the noise has frequencies above IkHz. The sampling frequency is 20kHz and you may assume that there is no aliasing. If the highest distortion allowed for the signal is 1% in amplitude, what is the worst-case attenuation of the noise signal? Problem 4: Design a first-order, strictly causal, low-pass...
Learning Goal: To analyze and design a passive, first-order low- pass filter using a series RL circuit. The analysis and design will be repeated for a series RC circuit. An electrocardiogram needs to detect periodic signals of approximately 1 Hz (since the resting heart rate of a healthy adult is between 55 and 70 beats per minute). The instrument operates in an electrical environment that is very noisy with a frequency of 60 Hz. It is desirable to have a...
Learning Goal: To analyze and design a passive, first-order low-pass filter using a series RL circuit. The analysis and design will be repeated for a series RC circuit. An electrocardiogram needs to detect periodic signals of approximately 1 Hz (since the resting heart rate of a healthy adult is between 55 and 70 beats per minute). The instrument operates in an electrical environment that is very noisy with a frequency of 60 Hz. It is desirable to have a low-pass...
First Order Low-Pass Filter (ex.) Please design a LPF, where y=sin(2*pi*1t) + noise, noise standard deviation = 0.1 Cut-off frequency: Fc = 10Hz y noise y filtered y true Signa Time(s)
[10pts] Let's imagine that we have a first-order differential equation that is hard or impossible to solve. The general form is: df g(e) f(t)-he) dt where g(t) and h(t) are understood to be known. It turns out that any first order differential equation is relatively easy to solve using computational techniques. Specifically, starting from the definition of the derivative... df f(t+dt)-S(t) (dt small) dt dt we can rearrange the equation to become... www f(t+dt)-f(t)+dt-df (dt small) dt In other words,...
[10pts] Let's imagine that we have a first-order differential equation that is hard or impossible to solve. The general form is: df g(e) f(t)-he) dt where g(t) and h(t) are understood to be known. It turns out that any first order differential equation is relatively easy to solve using computational techniques. Specifically, starting from the definition of the derivative... df f(t+dt)-S(t) (dt small) dt dt we can rearrange the equation to become... www f(t+dt)-f(t)+dt-df (dt small) dt In other words,...
when simplifying Vo sinwt = iR+ L.di/dt ,to undergo first order linear differention, why is Vo divided by R instead of L? APPLICATION FIRST ORDER LINEAR Given: a resistor inductor circuit driven by a sine wave generator with resistance R ohms, L Henrys. The generator voltage is given by V = Vo sin wt AA R Vo sin (w t) (Yeah, that's an inductor let's see you do better!) di The differential equation for the circuit (from Kirchoff's voltage law)...
thanks Laboratory 1: operation amplifier characteristics A. Objectives: 1. To study the basic characteristics of an operational amplifier 2. To study the bias circuit of an operational amplifier B. Apparatus: 1. DC Power supply 2. Experimental board and corresponding components 3. Electronic calculator (prepared by students) 4. Digital camera (prepared by students for photo taking of the experimental results) 5. Laptop computer with the software PicoScope 6 and Microsoft Word installed. 6. PicoScope PC Oscilloscope and its accessories. 7. Multimeter...