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qr code vb.net library * Nonrecursive lters are called nite impulse response lters, abbreviated FIR. in Visual Studio .NET
* Nonrecursive lters are called nite impulse response lters, abbreviated FIR. Decoding USS Code 128 In .NET Framework Using Barcode Control SDK for VS .NET Control to generate, create, read, scan barcode image in Visual Studio .NET applications. Code 128 Code Set C Encoder In .NET Using Barcode generation for .NET Control to generate, create Code 128 Code Set B image in .NET framework applications. CHAPTER 13 The Digital Processor
Recognizing USS Code 128 In VS .NET Using Barcode scanner for Visual Studio .NET Control to read, scan read, scan image in .NET framework applications. Printing Barcode In .NET Using Barcode drawer for .NET framework Control to generate, create barcode image in Visual Studio .NET applications. which means that, FOR A GIVEN SAMPLING FREQUENCY !s and variable analog frequency !, the ratio r !=!s should not exceed the value of r 0:5 1=2. Thus the FREQUENCY RESPONSE of a digital lter generally needs to be calculated only over the range of r 0 to r 0:5. Example Decoding Barcode In Visual Studio .NET Using Barcode recognizer for .NET framework Control to read, scan read, scan image in .NET framework applications. Create Code 128 Code Set C In Visual C# Using Barcode creator for .NET Control to generate, create Code 128 Code Set C image in .NET framework applications. Show that the DT processor in Fig. 358 will serve as a lowpass lter.
Generate Code 128B In .NET Using Barcode creator for ASP.NET Control to generate, create Code 128 image in ASP.NET applications. Painting USS Code 128 In Visual Basic .NET Using Barcode creation for VS .NET Control to generate, create Code128 image in Visual Studio .NET applications. Fig. 358
Encode EAN 13 In Visual Studio .NET Using Barcode creation for VS .NET Control to generate, create GS1  13 image in .NET framework applications. Print Barcode In .NET Framework Using Barcode drawer for .NET Control to generate, create barcode image in .NET applications. Solution Note that this is a nonrecursive lter in which b0 1:0 and b1 1:0 (see lefthand side of Fig. 354 in section 13.8). Thus, upon substituting these values into eq. (608) we FIRST have that H z 1:0 z 1 Next, since we wish to nd the steadystate sinusoidal frequency response of the given processor, we now make the substitution z j2r into the above H z . If we do this, changing the notation H z to H r and making use of Euler s formula, the above equation for H z becomes H r 1:0 j2r 1:0 cos 2r j sin 2r Thus H r is now in the rectangular form H r a jb jH r j=, where p jH r j a2 b2 and arctan b=a 612 where, in this particular case, we have a 1:0 cos 2r and b sin 2r. Hence we have, here, by eq. (611), q p jH r j 1 cos 2r 2 sin2 2r 2 1 cos 2r in which we made use of the identity sin2 x cos2 x 1 (from problem 64), and also, by eq. (612), arctan sin 2r= 1 cos 2r because arctan x arctan x. Note: Euler s formula, in the form jx cos x j sin x, is valid for x in radians, where degrees (radians)(180/). Thus, if we wish to work in degrees, we would write sin 360r and cos 360r. It will be informative, now, to show graphically how jH r j and change with changing values of r, for the case of Fig. 358. 610 Making Code 128C In .NET Framework Using Barcode creator for VS .NET Control to generate, create Code 128 Code Set B image in .NET applications. EAN / UCC  8 Generator In .NET Using Barcode generator for VS .NET Control to generate, create GS1  8 image in .NET applications. 611 Bar Code Creation In None Using Barcode creator for Software Control to generate, create barcode image in Software applications. Drawing USS128 In .NET Using Barcode creator for ASP.NET Control to generate, create EAN / UCC  14 image in ASP.NET applications. CHAPTER 13 The Digital Processor
Barcode Recognizer In Visual Studio .NET Using Barcode recognizer for Visual Studio .NET Control to read, scan read, scan image in .NET framework applications. Draw GS1  13 In None Using Barcode printer for Software Control to generate, create EAN13 Supplement 5 image in Software applications. To do this we begin with the following table of values which, as you can verify, was found by making use of the above formulas for jH r j and . Barcode Decoder In Java Using Barcode scanner for Java Control to read, scan read, scan image in Java applications. USS Code 128 Generation In Java Using Barcode generation for BIRT reports Control to generate, create Code 128 Code Set B image in Eclipse BIRT applications. r 0.0 0.1 0.2 0.3 0.4 0.5 jH r j 2.00 1.90 1.62 1.18 0.62 0.00 0.00 18.00 36.00 54.00 72.00 90.00* Bar Code Creator In Java Using Barcode maker for Eclipse BIRT Control to generate, create barcode image in Eclipse BIRT applications. Scan EAN13 In Java Using Barcode scanner for Java Control to read, scan read, scan image in Java applications. The above results are shown graphically in Figs. 359 and 360.
Fig. 359
Fig. 360
First, Fig. 359 shows that, while the circuit of Fig. 358 is a basic form of lowpass lter, it is very broad in its action, not possessing the sharp cuto characteristic we generally would want such a lter to have. This is understandable, because Fig. 358 is the most basic type of lowpass digital lter. Next, Fig. 360 shows that the ratio of phase shift to frequency is constant, which means that the nonrecursive (FIR) lter of Fig. 358 has constant time delay and thus produces no timedelay distortion (note 20 in Appendix). The fact that FIR lters have constant time delay is an advantage in certain applications. Another advantage of FIR lters is that they are always stable (because of the absence of feedback). Thus our ALGEBRA has let us to the fact that the OUTPUT of Fig. 358 depends upon the FREQUENCY ! of the ORIGINAL ANALOG SIGNAL; the details of WHY this happens can be explained as follows. Let us begin by recalling, with the aid of Fig. 361, the action of the UNIT DELAY circuit in Fig. 358. In Fig. 361, A represents the sampled value of an analog signal at a time t, while B is the same value as A but delayed T seconds from A, as shown. Thus timewise, at t T, the output of the time delay unit is the past value of the analog signal at time t. * Direct substitution of r 1=2 into the equation for gives arctan 0=0 , where 0/0 has, itself, an indeterminate value. If, however, using your calculator, you successively nd the values of for, say, r 0:496; 0:497; 0:498, and so on, it will be apparent that approaches the limiting value of 90 for r 1=2.

