<caption><image_106>The image is a photograph of a whiteboard with black text written on it. The text reads "Now: Discrete time filter specifications (Unnormalized Spots)". The text is written in a cursive font and is centered on the whiteboard. On the top right corner of the image, there is a logo of the Indian Institute of Technology and Science. The background is blurred, but it appears to be a classroom or a classroom setting.</caption><caption><image_107>The image shows a person's hand holding a black marker and writing on a whiteboard. The text on the whiteboard reads "Example Discrete LPE: Samp rate = 50K". The text is written in black ink and appears to be a mathematical equation. The background of the image is blurred, but it seems like the person is focused on the task at hand. There is a logo on the top right corner and a watermark on the bottom right corner.</caption><video><caption><image_108>The image is a screenshot of a whiteboard with a question written on it. The question reads "Example Discrete LIF: Sam(s) rate = 50 KHz Passband edge = 20 KHz and Band edge = 32 KHz". The question is written in black marker and is written on a white paper with a black marker. The background of the whiteboard is plain and there is a logo on the top right corner of the image. The image appears to be taken from a top-down perspective.</caption><caption><image_109>The image is a screenshot of a whiteboard with black text written on it. The text reads "Example Discrete LIF: Sample rate = 50 KHz Passband edge = 20 KHz and Band edge = 32 KHz". The text is written in a neat and legible font and is centered on the whiteboard. On the top right corner of the image, there is a logo of the Indian Institute of Science and Technology (CDEEP) and on the top left corner, there are two stamps. The background is plain white.</caption></video><caption><image_110>The image is a screenshot of a whiteboard with a handwritten note on it. The note is written in black ink and appears to be a mathematical equation. The equation is for example discrete LIPF, which is a measure of the distance between 50 khz and 20 khz. 

The equation is written on a white piece of paper with a black marker. The paper is divided into two columns, with the left column containing the equation and the right column containing a formula. The formula is written as "Sample rate = 50 KHz" and the equation is "Passband edge = 20 KHz".

At the bottom of the image, there is a hand holding a pen and writing on the whiteboard. On the top right corner, there are two logos, one for "CDEEP" and another for "NPTEL". On top of the left and right corners, there appears to have a logo for the company.</caption><caption><image_111>The image is a whiteboard with a diagram drawn on it. The diagram consists of two lines, one labeled "D" and the other labeled "TT". The lines intersect at the top and bottom of the diagram, with the letters "D", "TT", and "TT" written on them. On the right side of the image, there is a hand holding a pen and writing on the whiteboard. The background is plain white. The image appears to be a screenshot from a video or presentation.</caption><caption><image_112>The image shows a person's hand holding a black marker and writing on a whiteboard. The whiteboard has a diagram drawn on it with a line drawn in the center. The line is labeled "D" and is drawn in black ink. Below the line, there is a text that reads "0.8m" and "D.88m". On the right side of the whiteboard, there are two logos, one for "CDEEP IT Bombay" and the other for "NPTEL". The background of the image is blurred, but it appears to be a classroom or classroom setting.</caption><video><caption><image_113>The image shows a person's hand holding a pen and writing on a whiteboard. The whiteboard has a diagram drawn on it with black marker. The diagram appears to be a circuit diagram with three lines and numbers written on it. The first line is labeled "Specs" and the second line is numbered "1.1". The third line is labelled "2.0.9". The fourth line is marked "0.1" and has a number "1" written on the top left corner. The fifth line has a line drawn on the bottom right corner and the sixth line has an arrow pointing to the top right corner. There is also a logo on the right side of the whiteboard that reads "CCEP" and a stamp on the left side. The background of the image is blurred.</caption><caption><image_114>The image is a whiteboard with a black marker on it. On the whiteboard, there is a diagram that appears to be a circuit diagram. The diagram is divided into three sections. 

The first section is labeled "Spices" and shows the dimensions of the circuit. The second section is titled "1.1" and is labeled as "2.0.9". The third section is labelled as "0.8m" and has a length of 0.8ft. The fourth section is marked as "25 kft". The fifth section is named "CDEEP" and it shows the length of a 25 kft circuit.

There is also a label on the right side of the image that reads "COEP" and a logo on the top right corner. The background of the board is white.</caption><caption><image_115>The image is a whiteboard with a diagram written on it. The diagram appears to be a technical drawing or a technical analysis of a circuit. The text on the whiteboard is written in black marker and is written on a white background. 

The diagram is divided into two sections. The top section is labeled "Spec" and shows the dimensions of the circuit, with the dimensions 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97,</caption></video> take the discrete time filter specifications of course these are unnormalized specifications what are these unnormalized specifications to take an example you may say the sampling rate is so much let us say its 50 kilohertz just to make a point the pass span is 30 kilohertz can it be no it can't so this can't be let's make it 22 kilohertz if the sampling rate is 50 kilohertz at best we can deal with the frequency 22 kilohertz and the tolerances of the pass span we want this kind of a frequency response of course i am showing only the positive side now you see pi corresponds to 25 kilohertz since the sampling rate is 50 kilohertz and therefore 20 kilohertz will essentially be 4 by 5 times pi or 0.8 times pi this is the path span edge and 22 kilohertz is 22 divided by 25 and therefore you have a stop point going from point 8 8 to pi and a pass point going all the way from 0 to 0.8 and of course you are allowing the response to vary between 1.1 and 0.9 here and from 0 to 0.1 there this is the response that you want to realize so this is how you would translate the specifications into the normalized angular frequency domain these are called the normalized specifications on the normalized angular is that clear is that clear how we go from the unnormalized specifications to normalized specifications very easy
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