在VHDL中正确地从有符号转换为无符号

我有一个带符号的累加器,它用作BROM LUT的索引。无论如何,我在代码中检查错误以检测溢出/下溢事件。这些是绝对关键的,因为应用程序是模拟射频前端的AGC,所以下溢可能会导致信号发出隆隆声以获得最大增益,从而炸毁我们的前端部件。因此,我需要找到一种方法来正确地将有符号转换为无符号。例如,以下是我目前掌握的情况:

library ieee;
...
use ieee.numeric_std.all;
...

process (clk)
    variable preSumV   : signed(accumToLut'left downto 0) := (others => '0');
    variable satCheckV : std_logic_vector(2 downto 0) := (others => '0');
begin
    if rising_edge(clk) then
        if reset = '1' then
            preSumV         := (others => '0');
            satCheckV       := (others => '0');
            overflow        <= '0';
            underflow       <= '0';
            accumToLut      <= (others => '0');
            accumToLutValid <= '0';
        else
            accumToLutValid <= mult.resultValid;

            -- accumulate
            if mult.resultValid = '1' then
                -- perform accum
                preSumV   := preSumV + mult.result(mult.result'left downto mult.result'left-accumToLut'length+1);
                satCheckV := accumToLut(accumToLut'left) & mult.result(mult.result'left) & preSumV(preSumV'left);

                -- check for signed OVF/saturation
                -- A,B is pos, sum neg = overflow so set max pos
                if satCheckV = "001" then
                    overflow <= '1';
                    accumToLut(accumToLut'left) <= '0';
                    accumToLut(accumToLut'left-1 downto 0) <= (others => '1');

                -- A,B is neg, sum pos = underflow so set max neg
                elsif satCheckV = "110" then
                    underflow <= '1';
                    accumToLut(accumToLut'left) <= '1';
                    accumToLut(accumToLut'left-1 downto 0) <= (others => '0');

                -- -- no overflow
                else
                    overflow   <= '0';
                    underflow  <= '0';
                    accumToLut <= preSumV;
                    --accumToLut <= preSumV(preSumV'left-1 downto 0);
                end if;
            end if;
        end if;
    end if;
end process;

accumToLutScaled <= accumToLut(accumToLut'left downto accumToLut'left-GainWordLookup'length+1);
index            <= unsigned(accumToLutScaled);
GainWordLookup   <= c_LinToDbLut(to_integer(accumToLutScaled));

index index <= unsigned(accumToLutScaled) .

为了提供一个例子,假设 preSumV , mult.result ,及 accumToLut 0x7FF 或 0b0111111111111 FFF ,对应于LUT中的最大条目。是否最好只将偏移量添加到 指数