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CLC5902 Datasheet(PDF) 25 Page - National Semiconductor (TI) |
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CLC5902 Datasheet(HTML) 25 Page - National Semiconductor (TI) |
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25 / 28 page ![]() ©1999 National Semiconductor Corporation 25 Rev. 3.05 May 27, 1999 scale) to detected power levels (54 db range). This pro- vides a resolution of 1.7dB between detected power levels. The truth table for this converter is given in Table 6. The upper three bits of the output represent the exponent (e) and the lower 2 are the mantissa (m). The exponent is determined by the position of the leading ‘1’ out of the CIC filter. An output of ‘001XX’ corresponds to a leading ‘1’ in bit 2 (LSB is bit 0). The exponent increases by one each time the leading ‘1’ advances in bit position. The mantissa bits are the two bits that follow the leading ‘1’. If we define E as the decimal value of the exponent bits and M as the decimal value of the mantissa bits, the output of the CIC filter, POUT, corresponding to a given “FIXED TO FLOAT CONVERTER” output is, EQ. 5 The max() and min() operators account for row 1 of Table 6 which is a special case because M=POUT. Equation 5 associates each address of the RAM with a CIC filter out- put. As shown in Figure 32, the 32X8 RAM look-up table implements the functions of log converter, reference sub- traction, error amplifier, and deadband. The user must build each of these functions by constructing a set of 8-bit, 2’s complement numbers to be loaded into the RAM. Each of these functions and how to construct them are discussed in the following paragraphs. A log conversion is done in order to keep the loop gain independent of operating point. To see why this is benefi- cial, the control gain of the DVGA computed without log conversion is, EQ. 6 where G is the decimal equivalent of GAIN and Go accounts for the DVGA gain in excess of unity. This equa- tion assumes that the DVGA gain control polarity is posi- tive as is the case for the CLC5526. The gain around the entire loop must be negative. Observe in Equation 6 that the control gain is dependent on operating point G. If we instead compute the control gain with log conversion, EQ. 7 which is no longer operating-point dependent. The log function is constructed by computing the CIC filter output associated with each address (Equation 5) and converting these to dB. Full scale (dc signal) is . The reference subtraction is constructed by subtracting the desired loop servo point (in dB) from the table values computed in the previous paragraph. For example, if it is desired that the DVGA servo the ADC input level (sinuso- idal signal) to -6dBFS, the number to subtract from the data is . EQ. 8 The table data will then cross through zero at the address corresponding to this reference level. A deadband wider than 6dB should then be constructed symmetrically about this point. This prevents the loop from hunting due to the 6dB gain steps of the DVGA. Any deadband in excess of 6dB appears as hysteresis in the servo point of the loop as illustrated in Figure 31. The deadband is constructed by loading zeros into those addresses on either side of the one which corresponds to the reference level. The last function of the RAM table is that of error amplifi- cation. All the operations preceding this one gave a table slope . This must now be adjusted in order to control the time constant of the loop given by, INPUT OUTPUT (eeemm) 0-3 000XX 4-7 001XX 8-15 010XX 16-31 011XX 32-63 100XX 64-127 101XX 128-255 110XX 256-511 111XX Table 6 Fixed to Float Converter Truth Table 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 -60 -50 -40 -30 -20 -10 0 Frequency Normalized to Sample Rate Figure 34 Power detector filter response P OU T 4 min E 1 , () ⋅ M + [] 2 max E 1 , () 1 – () E 1. ≥ , ⋅ = K DVGA ′ G ∂ ∂ v i 2 GG o – () ⋅ (), = v i 2 () 2 GG o – () , ⋅ ln ⋅ – = K DVGA G ∂ ∂ 20 v i 2 GG o – () ⋅ () log ⋅ [], = 6.02, – = 20 511 () 54dB = log 20 511 2 --------- 2 π --- ⋅ 44dB = log S RAM 1 = |
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