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that is operated within its series resonant frequency (SRF), which creates a very low series impedance for the frequency of interest This is perfect for coupling and decoupling at very high frequencies Above the component s SRF, the capacitor will then become more inductive than capacitive, making it important to confirm that the circuit s design frequency will not reach too far over this SRF value The capacitor will eventually reach a point called the parallel resonant frequency (PRF), which is located at approximately twice the capacitor s SRF The PRF places the capacitor in a very high impedance mode, but may not be an issue and indeed may only be just barely noticeable when viewed on an RF simulator s graph This is due to resistive losses within the capacitor itself, which may remove any obvious S21 notch at the PRF But for broadband RF applications, a minimized S21 PRF notch over a wide frequency range, and with low overall component insertion losses, is much more desirable than a capacitor that has an obvious high-loss, high-attenuation PRF S21 notch (or notches) within the band of interest Due to the parasitic effects that the PCB s substrate, traces, and pads have on a capacitor, its SRF will vary from the part s data sheet value In other words, the SRF of a capacitor is highly dependent on the PCB layout itself Further, the capacitor s SRF value, as quoted in the data sheet, will actually decrease by up to 40% when a capacitor is mounted in a shunt (trace to ground) configuration on the PCB Consequently, because of the overall PCB board effects and capacitor tolerances, it is best to select a capacitor that has an SRF that is at least 10% higher than the highest frequency we want to couple or bypass Clearly, for impedance-matching applications, if we plan on using anything close to the calculated component values, the capacitor s SRF must be significantly higher than the highest frequency we plan to match For RF decoupling purposes, we will normally be required to parallel two or more capacitors to effectively cover an extremely wide bandwidth Occasionally, we may even need to parallel up to two capacitors in wideband series coupling applications (Fig 15) Nonetheless, for either coupling or decoupling, these multiple capacitor arrangements should always be simulated with the proper software models to confirm that there will be no major resonant interactions between the two capacitors unavoidable physical parasitics, since this paralleling can create unexpected performance degradation, especially of S21 The result of this undesired parasitic interaction is called antiresonance, and its consequences are shown in Fig 16 The lower frequency capacitor will directly contribute the most to these antiresonance effects, as it will be supplying more of the parasitic inductances than the high-frequency RF capacitor The low-frequency capacitor will also be traversing, at some frequency, its series resonance point, and thus reaching into the inductive regions of the Smith chart.

The current location in the source code is pointed to by prog The p_buf pointer is unchanged by the interpreter and always points to the start of the program being interpreted The get_token( ) function begins by skipping over all white space, including carriage returns and linefeeds Since no C token (except for a quoted string or character constant) contains a space, spaces must be bypassed The get_token( ) function also skips over comments (Remember, only /* */ comments are accepted) Next, the string representation of each token is placed into token; its type (as defined by the tok_types enumeration) is put into token_type; and, if the token is a keyword, its internal representation is assigned to tok via the look_up( ) function (shown in the full parser listing that follows) The reason for the internal representation of keywords will be discussed later As you can see by looking at get_token( ), it converts C's two -character relational operators into their corresponding enumeration value Although not technically necessary, this step makes the parser easier to implement Finally, if the parser encounters a syntax error, it calls the function sntx_err( ) with an enumerated value that corresponds to the type of error found The sntx_err( ) function

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1 F

is also called by other routines in the interpreter whenever an error occurs The sntx_err( ) function is shown here:

FIGURE 15 Two paralleled capacitors in series and shunt con gurations, used for coupling and decoupling

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